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Chapter 7: Q. 25 (page 651)

Simplify the rational expression w3+216w2-36

Short Answer

Expert verified

Simplified form of rational expressionw3+216w2-36is(w2-6w+36)w-6,w鈮�6

Step by step solution

01

. Given information

Given rational expression is w3+216w2-36.

We need to simplify the rational expression.

02

. Simplification of rational expression

To simplify first we need to factor both numerator and denominator and find out the common factor , then simplify the expression.

Thus simplified form of expression isw3+216w2-36=(w+6)(w2+6w+36)(w+6)(w-6),sincew3+216canfactorizeintheformofa3+b3=a2+ab+b2=(w2+6w+36)(w-6),w鈮�6,divideoutthecommonfactor.

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Most popular questions from this chapter

Solve each rational function inequality and write the solution in interval notation. Given the functionR(x)=(x-6)(x+2), find the values of x that make the function less than or equal to 0.

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Simplify the complex rational expression by writing it as a division:

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

1x2-16<0

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