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Chapter 6: Q 173. (page 603)

In the following exercises, factor completely using the perfect square trinomial pattern.

75u4-30u3v+3u2v2

Short Answer

Expert verified

The factor of the given trinomial is 3u25u-v2.

Step by step solution

01

Step 1. Given information.

Consider the given trinomial.

75u4-30u3v+3u2v2

02

Step 2. Factor out GCF

Factor out 3u2from the given trinomial.

3u225u2-10uv+v2

03

Step 3. Find the factor of perfect square trinomial.

The middle term of the trinomial is negative, so the binomial square will be of the form a-b2.

3u25u2-2路5u路v+v2

Write factor

3u25u-v2

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