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

Recognize as binomial squared: Recognize the expression as a binomial squared. The expression (5x-6)² is a binomial squared, which means it is equivalent to (5x-6)(5x-6).Apply FOIL method: Apply the FOIL method to expand the binomial. FOIL stands for First, Outer, Inner, Last, which refers to the terms in each binomial that are multiplied together. First: (5x)*(5x) = 25x² Outer: (5x)*(-6) = -30x Inner: (-6)*(5x) = -30x Last: (-6)*(-6) = 36Combine like terms: Combine like terms. After applying the FOIL method, we have the terms 25x², -30x, -30x, and 36. The like terms here are -30x and -30x. 25x² + (-30x) + (-30x) + 36 = 25x² - 60x + 36

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Expand.
If necessary, combine like terms.

(5x-6)^(2)=◻

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

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Math Problems

Algebra 2

Sin, cos, and tan of special angles

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Q. Expand.

\newline

If necessary, combine like terms.

\newline

(5x-6)^2=\square

Recognize as binomial squared: Recognize the expression as a binomial squared. $\newline$ The expression $(5x-6)^2$ is a binomial squared, which means it is equivalent to $(5x-6)(5x-6)$ .
Apply FOIL method: Apply the FOIL method to expand the binomial. $\newline$ FOIL stands for First, Outer, Inner, Last, which refers to the terms in each binomial that are multiplied together. $\newline$ First: $(5x)*(5x) = 25x^2$ $\newline$ Outer: $(5x)*(-6) = -30x$ $\newline$ Inner: $(-6)*(5x) = -30x$ $\newline$ Last: $(-6)*(-6) = 36$
Combine like terms: Combine like terms. $\newline$ After applying the FOIL method, we have the terms $25x^2$ , $-30x$ , $-30x$ , and $36$ . The like terms here are $-30x$ and $-30x$ . $\newline$ $25x^2 + (-30x) + (-30x) + 36 = 25x^2 - 60x + 36$