Algebra-1 Problems

6.1 Factoring When Terms Have Common Factor


Problem #

Problem Statement

Problems Similar To

1.

Factorize

\begin{equation}10x-10y\end{equation}

2.

Factorize

\begin{equation}x^{2}+8xy\end{equation}

3.

Factorize

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

4.

Factorize

\begin{equation}8x^{3}+6x^{2}\end{equation}

5.

Factorize

\begin{equation}40x^{3}y^{2}+72xy^{4}\end{equation}

6.

Factorize

\begin{equation}63x^{4}y^{3}-21x^{2}y^{4}\end{equation}

7.

Factorize

\begin{equation}5x^{2}y+10y\end{equation}

8.

Factorize

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

9.

Factorize

\begin{equation}8x^{4}+64x^{2}\end{equation}

10.

Factorize

\begin{equation}80x^{2}+60y^{5}\end{equation}

11.

Factorize

\begin{equation}(-64)x^{3}+40x\end{equation}

12.

Factorize

\begin{equation}8y^{3}z+12x^{2}y\end{equation}

13.

Factorize

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

14.

Factorize

\begin{equation}6x^{3}+48\end{equation}

15.

Factorize

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

16.

Factorize

\begin{equation}(-5)x^{3}+5x^{4}\end{equation}

17.

Factorize

\begin{equation}(-2)x^{8}y^{4}+9x^{6}y\end{equation}

18.

Factorize

\begin{equation}45xy^{2}+10y\end{equation}

19.

Factorize

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

20.

Factorize

\begin{equation}(-30)x^{5}+42x\end{equation}

21.

Factorize

\begin{equation}27x^{4}+63x^{3}+63x^{2}\end{equation}