Chapter 6: Q 167. (page 603)

In the following exercises, factor completely using the perfect square trinomials pattern.
$49 x^{2} + 28 x y + 4 y^{2}$

Short Answer

Expert verified

The factor of the trinomial is ${(7 x + 2 y)}^{2}$ .

Step by step solution

Step 1. Given information.

Consider the given trinomial.

$49 x^{2} + 28 x y + 4 y^{2}$

Step 2. Formula used

$a^{2} + 2 a b + b^{2} = {(a + b)}^{2}$

Step 3. Find the factor of perfect square trinomial.

The middle term of the trinomial is positive, so the binomial square will be of the form ${(a + b)}^{2}$ .

${(7 x)}^{2} + 2 \cdot 7 x \cdot 2 y + {(2 y)}^{2} {(7 x + 2 y)}^{2}$

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In the following exercises, factor completely using the perfect square trinomials pattern.
$49 x^{2} + 28 x y + 4 y^{2}$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Formula used

Step 3. Find the factor of perfect square trinomial.

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In the following exercises, factor completely using the perfect square trinomials pattern.49x2+28xy+4y2

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Formula used

Step 3. Find the factor of perfect square trinomial.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Geometry

Decision Maths

Pure Maths

Calculus

Mechanics Maths

Study anywhere. Anytime. Across all devices.

In the following exercises, factor completely using the perfect square trinomials pattern.
$49 x^{2} + 28 x y + 4 y^{2}$