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Chapter 7: Q. 383 (page 737)

Simplifyx2+7x+12x2+8x+16

Short Answer

Expert verified

Final answer is(x+3)(x+4).

Step by step solution

01

Step 1. Given Data

Given that the expression isx2+7x+12x2+8x+16.

02

Step 2. Simplification

On simplifying numerator and denominator using AC factorization,

=x2+4x+3x+12x2+4x+4x+16=x(x+4)+3(x+4)x(x+4)+4(x+4)=(x+4)(x+3)(x+4)(x+4)

On dividing the common factor,

=(x+3)(x+4)

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