Find the product. Simplify your answer. (f - 1)(f - 2) ______

Distribute f to terms: Now, distribute f to both terms in the binomial (f - 2). f(f - 2) = f*f - f*2 = f^2 - 2fDistribute -1 to terms: Next, distribute -1 to both terms in the binomial (f - 2). -1(f - 2) = -1*f + 1*2 = -f + 2Combine distributed terms: Combine the results from the previous two steps to get the full expression. (f^2 - 2f) + (-f + 2)Combine like terms: Now, combine like terms to simplify the expression. f^2 - 2f - f + 2 = f^2 - 3f + 2

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Find the product. Simplify your answer. $\newline$ $(f - 1)(f - 2)$

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Math Problems

Algebra 1

Multiply two binomials

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Q. Find the product. Simplify your answer.

\newline

(f - 1)(f - 2)

Distribute $f$ to terms: Now, distribute $f$ to both terms in the binomial $(f - 2)$ . $\newline$ $f(f - 2) = f\cdot f - f\cdot 2$ $\newline$ $= f^2 - 2f$
Distribute $-1$ to terms: Next, distribute $-1$ to both terms in the binomial $(f - 2)$ . $\newline$ $-1(f - 2) = -1\cdot f + 1\cdot 2$ $\newline$ $= -f + 2$
Combine distributed terms: Combine the results from the previous two steps to get the full expression. $\newline$ $(f^2 - 2f) + (-f + 2)$
Combine like terms: Now, combine like terms to simplify the expression. $\newline$ $f^2 - 2f - f + 2$ $\newline$ = $f^2 - 3f + 2$