Find the square. Simplify your answer. (4h - 3)^2 ______

Identify Binomial Form: We need to find the square of the binomial (4h - 3). This is in the form of (a - b)^2, which is a special case of binomial expansion. Special case: (a - b)^2 = a^2 - 2ab + b^2Determine a and b: Identify the values of a and b in the binomial (4h - 3). Compare (4h - 3)^2 with (a - b)^2. a = 4h b = 3Apply Binomial Expansion: Apply the square of a binomial formula to expand (4h - 3)^2. (a - b)^2 = a^2 - 2ab + b^2 (4h - 3)^2 = (4h)^2 - 2(4h)(3) + (3)^2Simplify Terms: Simplify each term in the expansion. (4h)^2 - 2(4h)(3) + (3)^2 = (4h * 4h) - (2 * 4 * 3)h + (3 * 3) = 16h^2 - 24h + 9

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Find the square. Simplify your answer. $\newline$ $(4h - 3)^2$

View step-by-step help

Home

Math Problems

Algebra 1

Multiply two binomials: special cases

Full solution

Q. Find the square. Simplify your answer.

\newline

(4h - 3)^2

Identify Binomial Form: We need to find the square of the binomial $(4h - 3)$ . This is in the form of $(a - b)^2$ , which is a special case of binomial expansion. $\newline$ Special case: $(a - b)^2 = a^2 - 2ab + b^2$
Determine $a$ and $b$ : Identify the values of $a$ and $b$ in the binomial $(4h - 3)$ . Compare $(4h - 3)^2$ with $(a - b)^2$ . $a = 4h$ $b = 3$
Apply Binomial Expansion: Apply the square of a binomial formula to expand $(4h - 3)^2$ . $\newline$ $(a - b)^2 = a^2 - 2ab + b^2$ $\newline$ $(4h - 3)^2 = (4h)^2 - 2(4h)(3) + (3)^2$
Simplify Terms: Simplify each term in the expansion. $\newline$ $(4h)^2 - 2(4h)(3) + (3)^2$ $\newline$ = $(4h \cdot 4h) - (2 \cdot 4 \cdot 3)h + (3 \cdot 3)$ $\newline$ = $16h^2 - 24h + 9$