Find the square. Simplify your answer. (u - 4)^2 ______

Identify binomial and formula: Identify the binomial to be squared and the special case formula to use. The given expression is (u - 4)^2, which is a binomial squared. The special case formula for the square of a binomial is (a - b)^2 = a^2 - 2ab + b^2.Identify values of a and b: Identify the values of a and b in the binomial. In the expression (u - 4)^2, a is u and b is 4. We will use these values in the special case formula.Apply binomial square formula: Apply the square of a binomial formula to expand (u - 4)^2. Using the formula (a - b)^2 = a^2 - 2ab + b^2, we substitute a with u and b with 4: (u - 4)^2 = u^2 - 2(u)(4) + 4^2Simplify expression: Simplify the expression by performing the operations. u^2 - 2(u)(4) + 4^2 = u^2 - 8u + 16

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Find the square. Simplify your answer. $\newline$ $(u - 4)^2$

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Math Problems

Algebra 1

Multiply two binomials: special cases

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Q. Find the square. Simplify your answer.

\newline

(u - 4)^2

Identify binomial and formula: Identify the binomial to be squared and the special case formula to use. $\newline$ The given expression is $(u - 4)^2$ , which is a binomial squared. The special case formula for the square of a binomial is $(a - b)^2 = a^2 - 2ab + b^2$ .
Identify values of $a$ and $b$ : Identify the values of $a$ and $b$ in the binomial. $\newline$ In the expression $(u - 4)^2$ , $a$ is $u$ and $b$ is $4$ . We will use these values in the special case formula.
Apply binomial square formula: Apply the square of a binomial formula to expand $(u - 4)^2$ . Using the formula $(a - b)^2 = a^2 - 2ab + b^2$ , we substitute $a$ with $u$ and $b$ with $4$ : $(u - 4)^2 = u^2 - 2(u)(4) + 4^2$
Simplify expression: Simplify the expression by performing the operations. $u^2 - 2(u)(4) + 4^2 = u^2 - 8u + 16$