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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 6: Q. 668 (page 802)

Square a Binomial Using the Binomial Squares Pattern In the following exercises, square each binomial using the Binomial Squares Pattern.
${(3 n^{3} - 2)}^{2}$

Short Answer

Expert verified

On multiplying we get $9 n^{6} - 12 n^{3} + 4$

Step by step solution

01

Step 1. Given information

An expression is given as ${(3 n^{3} - 2)}^{2}$

02

Step 2. Multiplication

Multiply the terms as,

${(3 n^{3} - 2)}^{2} = (3 n^{3} - 2) 脳 (3 n^{3} - 2) = 9 n^{6} - 6 n^{3} - 6 n^{3} + 4 = 9 n^{6} - 12 n^{3} + 4$

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Most popular questions from this chapter

Simplify the polynomial.

$(3 n 鈥� 鈭� 鈥� 4) (n^{2} 鈥� + 鈥� n 鈥� 鈭� 鈥� 7)$

Multiply: $(5 x + 9) (4 x + 3)$

In the following exercises, multiply

$3 r (2 r^{2} - 6 r + 2)$

In the following exercises, multiply the binomials. Use any method.

$(x + 8) (x + 3)$

In the following exercises, multiply

$12 (y - 30)$

See all solutions

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