Expand. If necessary, combine like terms. (3+4x)(3-4x)=

Identify special case: Identify the special case that applies to the given expression. The expression (3+4x)(3-4x) 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 (3+4x)(3-4x) with (a+b)(a-b). a = 3 b = 4xApply difference of squares formula: Apply the difference of squares formula to expand (3+4x)(3-4x). (a+b)(a-b) = a^2 - b^2 (3+4x)(3-4x) = 3^2 - (4x)^2Simplify expression: Simplify 3^2 - (4x)^2. 3^2 - (4x)^2 = 9 - 16x^2

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Expand.
If necessary, combine like terms.

(3+4x)(3-4x)=

Expand. $\newline$ If necessary, combine like terms. $\newline$ $(3+4x)(3-4x)=$

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Algebra 1

Multiply two binomials: special cases

Full solution

Q. Expand.

\newline

If necessary, combine like terms.

\newline

(3+4x)(3-4x)=

Identify special case: Identify the special case that applies to the given expression. $\newline$ The expression $(3+4x)(3-4x)$ 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 $(3+4x)(3-4x)$ with $(a+b)(a-b)$ . $a = 3$ $b = 4x$
Apply difference of squares formula: Apply the difference of squares formula to expand $(3+4x)(3-4x)$ . $\newline$ $(a+b)(a-b) = a^2 - b^2$ $\newline$ $(3+4x)(3-4x) = 3^2 - (4x)^2$
Simplify expression: Simplify $3^2 - (4x)^2$ . $\newline$ $3^2 - (4x)^2 = 9 - 16x^2$