Expand. If necessary, combine like terms. (7x-1)^(2)=

Identify special case: Identify the special case that applies to this problem. (7x - 1)^2 is in the form of (a - b)^2. Special case: (a - b)^2 = a^2 - 2ab + b^2Identify values of a and b: Identify the values of a and b. Compare (7x - 1)^2 with (a - b)^2. a = 7x b = 1Apply binomial formula: Apply the square of a binomial formula to expand (7x - 1)^2. (a - b)^2 = a^2 - 2ab + b^2 (7x - 1)^2 = (7x)^2 - 2(7x)(1) + 1^2Simplify the expression: Simplify (7x)^2 - 2(7x)(1) + 1^2. (7x)^2 - 2(7x)(1) + 1^2 = (7x * 7x) - (2 * 7 * 1)x + 1 * 1 = 49x^2 - 14x + 1

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Expand. If necessary, combine like terms.

(7x-1)^(2)=

Expand. If necessary, combine like terms. $\newline$ $(7x-1)^2=$

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Algebra 1

Multiply two binomials: special cases

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Q. Expand. If necessary, combine like terms.

\newline

(7x-1)^2=

Identify special case: Identify the special case that applies to this problem. $\newline$ $(7x - 1)^2$ is in the form of $(a - b)^2$ . $\newline$ Special case: $(a - b)^2 = a^2 - 2ab + b^2$
Identify values of a and b: Identify the values of $a$ and $b$ . Compare $(7x - 1)^2$ with $(a - b)^2$ . $a = 7x$ $b = 1$
Apply binomial formula: Apply the square of a binomial formula to expand $(7x - 1)^2$ . $\newline$ $(a - b)^2 = a^2 - 2ab + b^2$ $\newline$ $(7x - 1)^2 = (7x)^2 - 2(7x)(1) + 1^2$
Simplify the expression: Simplify $(7x)^2 - 2(7x)(1) + 1^2$ . $\newline$ $(7x)^2 - 2(7x)(1) + 1^2$ $\newline$ = $(7x \cdot 7x) - (2 \cdot 7 \cdot 1)x + 1 \cdot 1$ $\newline$ = $49x^2 - 14x + 1$