Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Find the square. Simplify your answer. $(3b+3)^2$

View step-by-step help

View step-by-step help

Multiply two binomials: special cases

Full solution

Q. Find the square. Simplify your answer.

(3b+3)^2

Identify Binomial and Formula: Identify the binomial to be squared and the special case formula. $\newline$ The given expression is $(3b + 3)^2$ , which is a binomial squared. $\newline$ The special case formula for the square of a binomial is $(a + b)^2 = a^2 + 2ab + b^2$ .
Identify $a$ and $b$ : Identify the values of $a$ and $b$ in the binomial. $\newline$ In the expression $(3b + 3)^2$ , $a$ is $3b$ and $b$ is $3$ .
Apply Binomial Formula: Apply the square of a binomial formula to expand $(3b + 3)^2$ . Using the formula $(a + b)^2 = a^2 + 2ab + b^2$ , we get: $(3b + 3)^2 = (3b)^2 + 2(3b)(3) + (3)^2$
Simplify Expression: Simplify the expanded expression. $\newline$ $(3b)^2 + 2(3b)(3) + (3)^2$ $\newline$ = $9b^2 + 2(9b) + 9$ $\newline$ = $9b^2 + 18b + 9$

More problems from Multiply two binomials: special cases

Question

Find the degree of this polynomial.

\newline

`5b^{10} + 3b^3`

\newline

Posted 5 months ago

Question

\newline

(9a + 5) - (2a + 4)

\newline

Posted 5 months ago

Question

Find the product. Simplify your answer.

\newline

-3v^2(v^2 - 9)

\newline

Posted 5 months ago

Question

Find the product. Simplify your answer.

\newline

(v - 3)(4v + 1)

\newline

Posted 5 months ago

Question

Find the square. Simplify your answer.

\newline

(3y + 2)^2

\newline

Posted 5 months ago

Question

Divide. If there is a remainder, include it as a simplified fraction.

\newline

(24t^2 + 36t) \div 6t

\newline

Posted 5 months ago

Question

Is the function

q(x) = x^6 - 9

even, odd, or neither?

\newline

\newline

\text{[[even][odd][neither]]}

Posted 9 months ago

Question

Find the product. Simplify your answer.

\newline

-3q^2(-3q^2 + q)

\newline

Posted 9 months ago

Question

Find the product. Simplify your answer.

\newline

(r + 3)(4r + 2)

\newline

Posted 9 months ago

Question

Find the roots of the factored polynomial.

\newline

(x + 7)(x + 4)

\newline

Write your answer as a list of values separated by commas.

\newline

x =

Posted 9 months ago

Related topics

Algebra - Order of Operations Algebra - Distributive Property `X` and `Y` Axes Geometry - Scalene Triangle Common Multiple Geometry - Quadrant