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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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Most popular questions from this chapter

In the following exercise, find

(a) Rx=fx+gx

(b) R(x)=f(x)-g(x):

f(x)=-5x-5x2+x-6gx=x+12-x

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Simplify the complex rational expression by writing it as division:

34-1318+56

Solve each rational function inequality and write the solution in interval notation.

Given the functionR(x)=(x+1)(x+3), find the values of x that make the function less than or equal to 0.

In the following exercises, solve each rational inequality and write the solution in interval notation.

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