Algebra-1 Problems

6.1 Factoring When Terms Have Common Factor


Problem #

Problem Statement

Problems Similar To

1.

Factorize

\begin{equation}6x-6y\end{equation}

2.

Factorize

\begin{equation}x^{2}+3xy\end{equation}

3.

Factorize

\begin{equation}6x^{3}+30\end{equation}

4.

Factorize

\begin{equation}4x^{3}+70x^{2}\end{equation}

5.

Factorize

\begin{equation}30x^{3}y^{2}+30xy^{4}\end{equation}

6.

Factorize

\begin{equation}4x^{4}y^{3}-5x^{2}y^{4}\end{equation}

7.

Factorize

\begin{equation}6x^{2}y+42y\end{equation}

8.

Factorize

\begin{equation}3x^{3}-3x^{2}\end{equation}

9.

Factorize

\begin{equation}7x^{4}+9x^{2}\end{equation}

10.

Factorize

\begin{equation}66x^{2}+11y^{5}\end{equation}

11.

Factorize

\begin{equation}(-28)x^{3}+49x\end{equation}

12.

Factorize

\begin{equation}4y^{3}z+14x^{2}y\end{equation}

13.

Factorize

\begin{equation}x^{2}+3x\end{equation}

14.

Factorize

\begin{equation}6x^{3}+12\end{equation}

15.

Factorize

\begin{equation}6xy+30\end{equation}

16.

Factorize

\begin{equation}(-6)x^{3}+2x^{4}\end{equation}

17.

Factorize

\begin{equation}(-1)x^{8}y^{4}+6x^{6}y\end{equation}

18.

Factorize

\begin{equation}24xy^{2}+28y\end{equation}

19.

Factorize

\begin{equation}18x^{2}+24x^{3}\end{equation}

20.

Factorize

\begin{equation}(-64)x^{5}+32x\end{equation}

21.

Factorize

\begin{equation}45x^{4}+90x^{3}+54x^{2}\end{equation}