Expand. If necessary, combine like terms. (5x-6)^(2)=

Recognize the pattern: Recognize the pattern (5x - 6)^2. This 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 (5x - 6)^2 with (a - b)^2. a = 5x b = 6Apply binomial formula: Apply the square of a binomial formula to expand (5x - 6)^2. (a - b)^2 = a^2 - 2ab + b^2 (5x - 6)^2 = (5x)^2 - 2(5x)(6) + 6^2Simplify the expression: Simplify (5x)^2 - 2(5x)(6) + 6^2. (5x)^2 - 2(5x)(6) + 6^2 = (5x * 5x) - (2 * 5 * 6)x + 6 * 6 = 25x^2 - 60x + 36

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Expand. If necessary, combine like terms.

(5x-6)^(2)=

Expand. If necessary, combine like terms. $\newline$ $(5x-6)^2=$

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Math Problems

Algebra 1

Multiply two binomials: special cases

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Q. Expand. If necessary, combine like terms.

\newline

(5x-6)^2=

Recognize the pattern: Recognize the pattern $(5x - 6)^2$ . $\newline$ This 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 $b$ . $\newline$ Compare $($ $5$ x - $6$ )^ $2$ with $(a - b)^$ $2$ . $\newline$ $a =$ $5$ x $\newline$ $b =$ $6$
Apply binomial formula: Apply the square of a binomial formula to expand $(5x - 6)^2$ . $\newline$ $(a - b)^2 = a^2 - 2ab + b^2$ $\newline$ $(5x - 6)^2 = (5x)^2 - 2(5x)(6) + 6^2$
Simplify the expression: Simplify $(5x)^2 - 2(5x)(6) + 6^2.$ $\newline$ $(5x)^2 - 2(5x)(6) + 6^2$ $\newline$ $= (5x \cdot 5x) - (2 \cdot 5 \cdot 6)x + 6 \cdot 6$ $\newline$ $= 25x^2 - 60x + 36$