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ADDITION OF DISSIMILAR RATIONAL ALGEBRAIC EXPRESSIONS

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ADDITION OF DISSIMILAR RATIONAL ALGEBRAIC EXPRESSIONS

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6x-3 + x-11 = 7x-14 = 7(x-2) = x-2
7        7       7           7

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4x+1   +   5
x²+2x+1  3x+3

1)  x²+2x+1 = (x+1)(x+1)
3x+3 = (3)(x+1)
LCD = (3)(x+1)(x+1)

2)  4x+1   =   4x+1
x²+2x+1   (x+1)(x+1)
4x+1   =        ?
(x+1)(x+1)  (3)(x+1)(x+1)

3)  (3)(x+1)(x+1) =  3
(x+1)(x+1)

4) 3(4x+1)=  12x+3
the missing numerator in step 2 is 12x+3
=        12x+3
(3)(x+1)(x+1)

5)  5    =   5
3x+3    3(x+1)
5     =   ?
3(x+1)   (3)(x+1)(x+1)

6)   (3)(x+1)(x+1) = x+1
(3)(x+1)
= 5(x+1)= 5x+5
the missing numerator in step 5 is 5x +5
=    5x+5
(3)(x+1)(x+1)

7)    12x+3        +      5x+5               =12x+3 + 5x+1
(3)(x+1)(x+1)     (3)(x+1)(x+1)        (3)(x+1)(x+1)

12x + 5x = 17x
5 + 3 =8
= 17x +8
(3)(x+1)(x+1)

= 17x +8
3x 2 + 4x + 2

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SUBTRACTION OF DISSIMILAR RATIONAL ALGEBRAIC EXPRESSIONS

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SUBTRACTION OF DISSIMILAR RATIONAL ALGEBRAIC EXPRESSIONS

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5X2 -2 -  X
5X ⁻2    2-5X

= 5X2 -2 +  2      =  5X2 -2  +   2 =   6X ²+ 4
5X -2    2-5X       5X-2     5X-2     5X-2