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Bài tập

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Bài tập

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See all the wonderful things Phan Ng Đăng Dương 7/3 has made

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See all the wonderful things 70110-Nguyen Cong Huy has made

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(x^2+10x+5)(x^2+10x+13)+16
Đặt x^2+10x+5=a
=> a(a+8)+16 = a^2+8a+16
= (a+4)^2
= (x^2+10x+9)^2

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2x^2 - 8
=2(x^2 - 4)
=2(x+2)(x-2)

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E = 2x^2 -8
E = 2(x^2 - 4)
E = 2(x+2)(x-2)

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3x^2 - 7x + 2
= 3x^2 - x - 6x +2
=x(3x-1) - 2(3x-1)
=(3x-1)(x-2)

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= 3x^2-x-6x+2
= x(3x-1)-2(3x-1)
= ( x-2)(3x-1)

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D = 3x^2 - 7x + 2
D = 3x^2 - x - 6x +2
D = x(3x-1) - 2(3x-1)
D = (x-2)(3x-1)

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C = 4x^4 + 1
C = (4x^4 + 4x^2 + 1) - 4x^2
C = (2x^2+1)^2 - (2x)^2 = (2x^2+2x+1)(2x^2-2x+1)

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B = 3x^2 - 7x - 10
B = 3x^2 + 3x - 10x -10
B = 3x(x+1)-10(x+1)
B = (x+1)(3x-10)

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= 3x^2+3x-10-10
= 3x(x+1)-10(x+1)
=(x+1)(3x-10)

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b) 3x^2 - 7x - 10
= 3x^2 + 3x - 10x - 10
=3x(x+1) -10(x+1)
=(x+1)(3x-10)

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Câu 2 của con

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x^2-6x+8
=(x-3)^2-1
=(x-3-1)(x-3+1)
=(x-4)(x-2)

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1) (x-4)(x-2)
2) (2x-3)(2x-1)

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Mai Thy

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1) x^2-6x+8
= x^2-2x-4x+8
= x(x-2)-4(x-2)
= (x-2)(x-4)
2) 2x^2+3x-5
= 2x^2+5x-2x-5
= x(2x+5)-(2x+5)
= (x-1)(2x+5)

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1) x^2 - 6x + 8
= x^2 - 6x + 9 - 1
=(x-3)^2 -1
=(x-2)(x-4)

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=x^2-6x+9-1
=(x-3)^2-1
=(x-3-1)(x-3+1)
=(x-4)(x-2)

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x^2 + 4x + 3
=x^2 + 4x + 4 - 1
=(x+2)^2 - 1
=(x+3)(x+1)

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x^2+4x+3
=x^2+3x+x+3
=x(x+3)+(x+3)
=(x+3)(x+1)

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=x^2+4x+4-1
=(x+2)^2-1
=(x+2-1)(x+2+1)
= (x+1)(x+3)

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Phan Nguyễn Đăng Dương

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x^2 + 4x-12
=x^2 + 4x + 4 - 16
=(x+2)^2 -4^2
=(x+6)(x-2)

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x^2+4x-12=x^2+4x+4-16=(x+2)^2-4^2=(x+6)(x-2)

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x²+4x-12
=x²-2x+6x-12
=x(x-2)+6(x-2)
=(x-2)(x+6)

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x^2+4x-12
=x^2+4x+4-16
=(x+2)^2-4^2
=(x+6)(x-2)

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(x + y + 1)(x - y + 1)

= (94,5 + 4,5 + 1)(94,5 - 4,5 + 1)

= 100.91

= 9100

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x^2 + 2x + 1 - y^2
= (x+1)^2 - y^2
= (x+1+y)(x+1-y)
=(94.5 + 1+4.5)(94.5+1-4.5)
=100.91
=9100

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x^2+2x+1-y^2 tại x=94,5;y=4,5
=(x+1)^2-y^2
=(x+1+y)(x-1+y)
Thay x=94,5;y=4,5
=(94,5 + 4,5 + 1)(94,5 - 4,5 + 1)
=9100

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=(9x+1)^2-y^2
=(x+1+y)(x+1-y)
=(94.5+1+4.5)(94.5+1-4.5)
=100.91
=9100

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Đây là câu c bài 28 của con

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Câu b bài 48 của con

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Câu a của con

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c) x^2 – 2xy + y^2 – z^2 + 2zt – t^2

= (x^2 – 2xy + y^2) – (z^2 – 2zt + t^2)

= (x – y)^2 – (z – t)^2

= [(x – y) – (z – t)] [(x – y) + (z – t)]

= (x – y – z + t)(x – y + z –t)

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b) 3x^2 + 6xy + 3y^2 – 3z^2

= 3.(x^2 + 2xy + y^2 – z^2)

= 3[(x^2 + 2xy + y^2) – z^2]

= 3[(x + y)^2 – z^2]

= 3(x + y – z)(x + y + z)

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a)

x^2 + 4x – y^2 + 4

= (x^2 + 4x + 4) – y^2

= (x + 2)2 – y2

= (x + 2 – y)(x + 2 + y)

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Bài 48

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Bài 45

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Bài 48

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48
a) x^2+4x-y^2+4=(x^2+4x+4)-y^2=(x+2)^2-y^2=(x+2+y)(x+2-y)
b) 3x^2+6xy+3y^2-3z^2==3(x^2+2xy+y^2-z^2)=3[(x+y)^2-z^2]=3(x+y+z)(x+y-z)
c) x^2-2xy+y^2-z^2+2zt-t^2=(x+y)^2-(z-t)^2=(x+y+z-t)(x+y-z+t)

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=(x^2+4x+4)-y^2
=(x+2)^2-y^2
=(x+2+y)(x+2-y)

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Bài 47 a,b,

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Bài 43 d

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Bài 47

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Bài 43 a,b,c