How do you factor 10a^2+40a?

2 Answers
Jun 11, 2018

10a(a+4)

Explanation:

Expression = 10a^2+40a

First notice that 10 is a factor of both terms.

:. Expression = 10(a^2+4a)

Now notice that a is a factor of both terms in parentheses

:. Expression = 10a(a+4)
No further factorisation of the expression is possible.

Jun 11, 2018

10a (a + 4)

Explanation:

When factoring, you have to take out the variable(s) (in this case a) and number(s) (10) that can be divided out of the equation, they must be divided by each part of the expression.

10a can be divided out of the expression only because it can be divided from both.

To double check, multiply the factorized version to make sure it equals the original equation.