Algebra-1 Problems

6.1 Factoring When Terms Have Common Factor


Problem #

Problem Statement

Problems Similar To

1.

Factorize

\begin{equation}3x-3y\end{equation}

2.

Factorize

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

3.

Factorize

\begin{equation}10x^{3}+30\end{equation}

4.

Factorize

\begin{equation}3x^{3}+16x^{2}\end{equation}

5.

Factorize

\begin{equation}12x^{3}y^{2}+36xy^{4}\end{equation}

6.

Factorize

\begin{equation}6x^{4}y^{3}-18x^{2}y^{4}\end{equation}

7.

Factorize

\begin{equation}6x^{2}y+30y\end{equation}

8.

Factorize

\begin{equation}80x^{3}-32x^{2}\end{equation}

9.

Factorize

\begin{equation}72x^{4}+8x^{2}\end{equation}

10.

Factorize

\begin{equation}49x^{2}+49y^{5}\end{equation}

11.

Factorize

\begin{equation}(-56)x^{3}+72x\end{equation}

12.

Factorize

\begin{equation}60y^{3}z+24x^{2}y\end{equation}

13.

Factorize

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

14.

Factorize

\begin{equation}10x^{3}+60\end{equation}

15.

Factorize

\begin{equation}10xy+80\end{equation}

16.

Factorize

\begin{equation}(-10)x^{3}+100x^{4}\end{equation}

17.

Factorize

\begin{equation}(-7)x^{8}y^{4}+4x^{6}y\end{equation}

18.

Factorize

\begin{equation}54xy^{2}+45y\end{equation}

19.

Factorize

\begin{equation}40x^{2}+40x^{3}\end{equation}

20.

Factorize

\begin{equation}(-90)x^{5}+36x\end{equation}

21.

Factorize

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