Chapter 5: Q.226. (page 537)

Solve the square using the binomial squares pattern.
${(4 y^{3} - 2)}^{2}$

Short Answer

Expert verified

The solution is $16 y^{6} - 16 y^{3} + 4$ .

Step by step solution

Step 1. Given information.

The given expression is ${(4 y^{3} - 2)}^{2}$ .

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

Solve it as follows:

${(4 y^{3} - 2)}^{2} = {(4 y^{3})}^{2} - 2 \times 4 y^{3} \times 2 + {(2)}^{2} \Rightarrow 16 y^{6} - 16 y^{3} + 4$

Step 3. Binomial squares expression.

Hence, the binomial squares pattern are $16 y^{6} - 16 y^{3} + 4$ .

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Solve the square using the binomial squares pattern.
${(4 y^{3} - 2)}^{2}$

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.4y3-22

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.
${(4 y^{3} - 2)}^{2}$