Property 6
Common Monomial Factor
- \(ax+bx=x\cdot(a+b)\)
- \(ax+bx+x=x\cdot(a+b+1)\)
The factors of given algebraic expression consist of two or more algebraic expressions which when multiplied together produce the given expression.
Take the common factor in parentheses following statements.
1.
\(3x+mx=?\)
2.
\(ay+by-y=?\)
3.
\(x^2y+y^2x=?\)
4.
\(x^3y^2+xy^3=?\)
5.
\(6x^2y^3+8x^4y^2=?\)
6.
\(12a^3b^4-20a^2b^3=?\)
7.
\(ax^2+a^2x-ax=?\)
8.
\(a(x-y)+4(x-y)=?\)
9.
\(3(x-y)+5(y-x)=?\)
10.
\(a(x+y)-b(x+y)=?\)
11.
\(4(a-b)^2+5(a-b)^3=?\)
12.
\(37\cdot23-37\cdot13=?\)
13.
\(a(x-3)-(x-3)=?\)
14.
\(m(x-y)^3+n(y-x)^3=?\)
15.
\(a(x-y)^2+b(y-x)^2=?\)