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Chapter 8: Q 174 (page 953)

Find the LCD of5c2-4c+4,3cc2-10c+16.

Short Answer

Expert verified

The LCD is(c-2)2(c-8).

Step by step solution

01

Given Information

The given expression is5c2-4c+4,3cc2-10c+16.

02

Factor the denominator of both expressions.

The factored form of first denominator.

c2-4c+4=(c-2)(c-2)

The factored form of second denominator.

c2-10c+16=(c-2)(c-8)

03

 Determine the common factors and from the remaining factors, multiply each of the denominator with appropriate factors.

The common factor is (c-2).

Multiply common factor with other factors.

=(c-2)(c-2)(c-8)

=(c-2)2(c-8)

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