   Chapter 10, Problem 14T

Chapter
Section
Textbook Problem

# Factor each expression completely: 3 x 2 y 2 − 18 x 2 y + 27 x 2

To determine

To calculate: The factor of the expression 3x2y218x2y+27x2.

Explanation

Given Information:

The trinomial is 3x2y218x2y+27x2.

Formula used:

Square of difference:

a22ab+b2=(ab)(ab)

Calculation:

Consider the provided expression 3x2y218x2y+27x2.

Since 3x2y218x2y+27x2 has 3x2 an as common monomial factor.

The perfect square trinomial has a negative middle term and its factors are the square roots of the difference of first and last term.

The square root of the first term is y and the square root of the last term is 3

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