Expand. If necessary, combine like terms. (2+7x)(2-7x)=

Identify special case: Identify the special case that applies to the given expression. The expression (2+7x)(2-7x) is in the form of (a+b)(a-b). Special case: (a+b)(a-b) = a^2 - b^2Identify values of a and b: Identify the values of a and b. Compare (2+7x)(2-7x) with (a+b)(a-b). a = 2 b = 7xApply difference of squares formula: Apply the difference of squares formula to expand (2+7x)(2-7x). (a+b)(a-b) = a^2 - b^2 (2+7x)(2-7x) = 2^2 - (7x)^2Simplify expression: Simplify 2^2 - (7x)^2. 2^2 - (7x)^2 = 4 - 49x^2

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Expand. If necessary, combine like terms.

(2+7x)(2-7x)=

Expand. If necessary, combine like terms. $\newline$ $(2+7x)(2-7x)=$

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Algebra 1

Multiply two binomials: special cases

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Q. Expand. If necessary, combine like terms.

\newline

(2+7x)(2-7x)=

Identify special case: Identify the special case that applies to the given expression. $\newline$ The expression $(2+7x)(2-7x)$ is in the form of $(a+b)(a-b)$ . $\newline$ Special case: $(a+b)(a-b) = a^2 - b^2$
Identify values of a and b: Identify the values of $a$ and $b$ . Compare $(2+7x)(2-7x)$ with $(a+b)(a-b)$ . $a = 2$ $b = 7x$
Apply difference of squares formula: Apply the difference of squares formula to expand $(2+7x)(2-7x)$ . $\newline$ $(a+b)(a-b) = a^2 - b^2$ $\newline$ $(2+7x)(2-7x) = 2^2 - (7x)^2$
Simplify expression: Simplify $2^2 - (7x)^2$ . $\newline$ $2^2 - (7x)^2 = 4 - 49x^2$