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

Identify values of a and b: Identify the values of a and b. In the expression (m + 1)^2, we compare it with the general form (a + b)^2 to find that a = m and b = 1.Apply binomial square formula: Apply the square of a binomial formula to expand (m + 1)^2. Using the formula (a + b)^2 = a^2 + 2ab + b^2, we substitute a = m and b = 1 to get: (m + 1)^2 = m^2 + 2(m)(1) + 1^2Simplify the expression: Simplify the expression. Now we simplify the expression by performing the multiplication and squaring: m^2 + 2(m)(1) + 1^2 = m^2 + 2m + 1

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

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

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

(m + 1)^2

Identify values of $a$ and $b$ : Identify the values of $a$ and $b$ . In the expression $(m + 1)^2$ , we compare it with the general form $(a + b)^2$ to find that $a = m$ and $b = 1$ .
Apply binomial square formula: Apply the square of a binomial formula to expand $(m + 1)^2$ . Using the formula $(a + b)^2 = a^2 + 2ab + b^2$ , we substitute $a = m$ and $b = 1$ to get: $(m + 1)^2 = m^2 + 2(m)(1) + 1^2$
Simplify the expression: Simplify the expression. $\newline$ Now we simplify the expression by performing the multiplication and squaring: $\newline$ $m^2 + 2(m)(1) + 1^2 = m^2 + 2m + 1$