Find the square. Simplify your answer. (4m - 1)^2 ______

Identify binomial and formula: Identify the binomial to be squared and the special case formula to use. The binomial to be squared is (4m - 1), and it 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 in the binomial (4m - 1). Compare (4m - 1)^2 with (a - b)^2. a = 4m b = 1Apply binomial formula: Apply the square of a binomial formula to expand (4m - 1)^2. (4m - 1)^2 = (4m)^2 - 2(4m)(1) + (1)^2Simplify terms: Simplify each term in the expansion of (4m - 1)^2. (4m)^2 - 2(4m)(1) + (1)^2 = (4m * 4m) - (2 * 4m * 1) + (1 * 1) = 16m^2 - 8m + 1

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Find the square. Simplify your answer. $\newline$ $(4m - 1)^2$

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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

(4m - 1)^2

Identify binomial and formula: Identify the binomial to be squared and the special case formula to use. $\newline$ The binomial to be squared is $(4m - 1)$ , and it 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 $b$ in the binomial $(4m - 1)$ . Compare $(4m - 1)^2$ with $(a - b)^2$ . $a = 4m$ $b = 1$
Apply binomial formula: Apply the square of a binomial formula to expand $(4m - 1)^2$ . $(4m - 1)^2 = (4m)^2 - 2(4m)(1) + (1)^2$
Simplify terms: Simplify each term in the expansion of $(4m - 1)^2$ .
$(4m)^2 - 2(4m)(1) + (1)^2$
= $(4m \cdot 4m) - (2 \cdot 4m \cdot 1) + (1 \cdot 1)$
= $16m^2 - 8m + 1$