step 1 3C minus 10 squared is the square of a binomial difference with a first term of 3C and a second

Question

Multiply. $$ (3 c-10)^{2} $$

Name: Problem 87, Chapter 6: Elementary and Intermediate Algebra
Uploaded: 2020-05-27T00:32:11-08:00
Duration: 1 min 3 s
Channel: Melissa Stefan
Description: Multiply. (3 c-10)^2

   Multiply.
$$
(3 c-10)^{2}
$$

Elementary and Intermediate Algebra

Marvin L. Bittinger,… 4th Edition

Chapter 6, Problem 87

Instant Answer

Solved by Expert Melissa Stefan

05/27/2020

Step 1

Step 1: We start by writing down the formula for the square of a binomial difference, which is $(a-b)^2 = a^2 - 2ab + b^2$. Show more…

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Multiply. $$ (3 c-10)^{2} $$

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Key Concepts

Binomial Expansion

Binomial expansion involves expressing a binomial raised to a power in expanded form. In the case of squaring a binomial, the formula (a ± b)^2 = a^2 ± 2ab + b^2 is used to systematically expand the expression.

Perfect Square Trinomial

A perfect square trinomial is the result of squaring a binomial. Recognizing the structure a^2 ± 2ab + b^2 allows one to identify and construct the corresponding perfect square trinomial, which is important for both expansion and factorization in algebra.

Distributive Property

The distributive property is a key algebraic rule that facilitates the multiplication of terms across an addition or subtraction inside parentheses. It underlies methods such as FOIL, which is used to multiply binomials by distributing each term properly.

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