Chapter 5: Q.227. (page 537)

Solve the square using the binomial squares pattern.
${(8 p^{3} - 3)}^{2}$

Short Answer

Expert verified

The solution is $64 p^{6} - 48 p^{3} + 9$ .

Step by step solution

Step 1. Given information.

The given expression is ${(8 p^{3} - 3)}^{2}$ .

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

Solve it as follows:

${(8 p^{3} - 3)}^{2} = {(8 p^{3})}^{2} - 2 \times 8 p^{3} \times 3 + 3^{2} \Rightarrow 64 p^{6} - 48 p^{3} + 9$

Step 3. Binomial squares expression.

Hence, the binomial squares pattern are $64 p^{6} - 48 p^{3} + 9$ .

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Solve the square using the binomial squares pattern.
${(8 p^{3} - 3)}^{2}$

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.8p3-32

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

Recommended explanations on Math Textbooks

Pure Maths

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Study anywhere. Anytime. Across all devices.

Solve the square using the binomial squares pattern.
${(8 p^{3} - 3)}^{2}$