Chapter 10: Q 10.27 (page 1169)

Complete the square to make a perfect square trinomial. Write the result as a binomial square.
$y^{2} + 12 y$

Short Answer

Expert verified

The result is $(y + 6)^{2}$ .

Step by step solution

Given Information.

The Given expression is $y^{2} + 12 y$ .

Identify b,the coefficient of term having power one.

$y^{2} + 12 y$

The coefficient of $y$ is $12$ .

Therefore, $b = 12$

Find 12b2.

Substitute $b = 12$

$= {(\frac{1}{2} \times 12)}^{2}$

$= {(6)}^{2} = 36$

Add 36 to binomial expression to complete the square.

$y^{2} + 12 y + 36$

Rewrite as a binomial square.

$(y + 6)^{2}$

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Complete the square to make a perfect square trinomial. Write the result as a binomial square.
$y^{2} + 12 y$

Short Answer

Step by step solution

Given Information.

Identify b,the coefficient of term having power one.

Find 12b2.

Add 36 to binomial expression to complete the square.

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Complete the square to make a perfect square trinomial. Write the result as a binomial square.y2+12y

Short Answer

Step by step solution

Given Information.

Identify b,the coefficient of term having power one.

Find 12b2.

Add 36 to binomial expression to complete the square.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Mechanics Maths

Statistics

Applied Mathematics

Geometry

Calculus

Study anywhere. Anytime. Across all devices.

Complete the square to make a perfect square trinomial. Write the result as a binomial square.
$y^{2} + 12 y$