Algebra-1 Problems

6.1 Factoring When Terms Have Common Factor


Problem #

Problem Statement

Problems Similar To

1.

Factorize

\begin{equation}2x-2y\end{equation}

2.

Factorize

\begin{equation}x^{2}+6xy\end{equation}

3.

Factorize

\begin{equation}5x^{3}+15\end{equation}

4.

Factorize

\begin{equation}7x^{3}+12x^{2}\end{equation}

5.

Factorize

\begin{equation}36x^{3}y^{2}+16xy^{4}\end{equation}

6.

Factorize

\begin{equation}8x^{4}y^{3}-4x^{2}y^{4}\end{equation}

7.

Factorize

\begin{equation}10x^{2}y+90y\end{equation}

8.

Factorize

\begin{equation}15x^{3}-20x^{2}\end{equation}

9.

Factorize

\begin{equation}25x^{4}+5x^{2}\end{equation}

10.

Factorize

\begin{equation}14x^{2}+8y^{5}\end{equation}

11.

Factorize

\begin{equation}(-48)x^{3}+24x\end{equation}

12.

Factorize

\begin{equation}12y^{3}z+21x^{2}y\end{equation}

13.

Factorize

\begin{equation}x^{2}+5x\end{equation}

14.

Factorize

\begin{equation}10x^{3}+70\end{equation}

15.

Factorize

\begin{equation}3xy+12\end{equation}

16.

Factorize

\begin{equation}(-16)x^{3}+6x^{4}\end{equation}

17.

Factorize

\begin{equation}(-6)x^{8}y^{4}+2x^{6}y\end{equation}

18.

Factorize

\begin{equation}8xy^{2}+48y\end{equation}

19.

Factorize

\begin{equation}3x^{2}+15x^{3}\end{equation}

20.

Factorize

\begin{equation}(-20)x^{5}+4x\end{equation}

21.

Factorize

\begin{equation}3x^{4}+2x^{3}+7x^{2}\end{equation}