Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Find the product. Simplify your answer. $\newline$ $(z - 3)(4z + 4)$

View step-by-step help

View step-by-step help

Multiply two binomials

Full solution

Q. Find the product. Simplify your answer.

\newline

(z - 3)(4z + 4)

Distribute $z$ in second binomial: Now, we will distribute $z$ across the terms in the second binomial. $\newline$ $z(4z + 4) = z(4z) + z(4)$ $\newline$ $= 4z^2 + 4z$
Distribute $-3$ in second binomial: Next, we will distribute $-3$ across the terms in the second binomial. $-3(4z + 4) = -3(4z) - 3(4) = -12z - 12$
Combine distributed terms: Now, we will combine the results from the previous two steps to get the full expression. $\newline$ $(z - 3)(4z + 4) = (4z^2 + 4z) + (-12z - 12)$
Simplify the expression: Finally, we will combine like terms to simplify the expression. $4z^2 + 4z - 12z - 12 = 4z^2 - 8z - 12$

More problems from Multiply two binomials

Question

Find the degree of this polynomial.

\newline

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

\newline

Posted 2 months ago

Question

\newline

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

\newline

Posted 2 months ago

Question

Find the product. Simplify your answer.

\newline

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

\newline

Posted 1 month ago

Question

Find the product. Simplify your answer.

\newline

(v - 3)(4v + 1)

\newline

Posted 2 months ago

Question

Find the square. Simplify your answer.

\newline

(3y + 2)^2

\newline

Posted 2 months ago

Question

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

\newline

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

\newline

Posted 2 months ago

Question

Is the function

q(x) = x^6 - 9

even, odd, or neither?

\newline

\newline

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

Posted 2 months ago

Question

Find the product. Simplify your answer.

\newline

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

\newline

Posted 2 months ago

Question

Find the product. Simplify your answer.

\newline

(r + 3)(4r + 2)

\newline

Posted 2 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 2 months ago