Chapter 5: Q.220. (page 537)

Solve the square using the binomial squares pattern.
${(y + \frac{1}{4})}^{2}$

Short Answer

Expert verified

The solution is $y^{2} + \frac{y}{2} + \frac{1}{16}$ .

Step by step solution

Step 1. Given information.

The given expression is ${(y + \frac{1}{4})}^{2}$ .

Step 2. Simplify the given expression by using the binomial squares pattern a+b2=a2+2ab+b2.

Solve it as follows:

${(y + \frac{1}{4})}^{2} = {(y)}^{2} + 2 \times y \times \frac{1}{4} + {(\frac{1}{2})}^{2} \Rightarrow y^{2} + \frac{y}{2} + \frac{1}{16}$

Step 3. Binomial squares expression.

Hence, the binomial squares pattern are $y^{2} + \frac{y}{2} + \frac{1}{16}$ .

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Solve the square using the binomial squares pattern.
${(y + \frac{1}{4})}^{2}$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Simplify the given expression by using the binomial squares pattern a+b2=a2+2ab+b2.

Step 3. Binomial squares expression.

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Solve the square using the binomial squares pattern.y+142

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Simplify the given expression by using the binomial squares pattern a+b2=a2+2ab+b2.

Step 3. Binomial squares expression.

One App. One Place for Learning.

Most popular questions from this chapter

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Solve the square using the binomial squares pattern.
${(y + \frac{1}{4})}^{2}$