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

2 Answers
Jun 11, 2018

Answer:

#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

Answer:

#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.