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Hurry!!! help!! NO SPAM will mark brainliest if you are correct, and show your work. Divide. Assume that all expressions are defined.
(x^2-1)/(3x^2+5x+2)÷(x^2+6x-7)/(x^2-4x-5)

Sagot :

MrPerfectz

Step-by-step explanation:

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(x^2-1)/(3x^2+5x+2)÷(x^2+6x-7)/(x^2-4x-5)

(x-1)(x+1)/3x^2+3x+2x+2 × x^2-4x-5/x^2+6x-7

(x-1)(x+1)/3x(x+1)+2(x+1) × x^2-4x-5/x^2+7x-x-7

(x-1)(x+1)/(3x+2)(x+1) × x^2-4x-5/x(x+7)-(x+7)

Divide numerator and denominator by x+1

x-1/3x+2 × x^2-4x-5/(x+7)(x-1)

Simplify the expression by dividing by x-1

1/3x+2 × x^2-4x-5/(x+7)

Multiply the fractions

x^2-4x-5/(x+7) (3x+2)

Multiply brackets

x^2-4x-5/3x^2+21x+2x+14

Calculate the sum

x^2-4x-5/3x^2+23x+14

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