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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

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

01

Step 1. Given information.

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

02

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

Solve it as follows:

${(8 p^{3} - 3)}^{2} = {(8 p^{3})}^{2} - 2 脳 8 p^{3} 脳 3 + 3^{2} 鈬� 64 p^{6} - 48 p^{3} + 9$

03

Step 3. Binomial squares expression.

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

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Most popular questions from this chapter

$Subtract (a^{2} + 5 a b - 6 b^{2}) from (a^{2} + b^{2})$

Multiply (a) $(3.5 脳 10^{- 4}) (1.6 脳 10^{- 2})$ to get answer in decimal form

Divide (b) $\frac{8 脳 10^{6}}{4 脳 10^{- 1}}$ to get answer in decimal form

Solve the square using the binomial squares pattern.

${(3 x^{2} + 2)}^{2}$

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