how do I factor with two variables
a2 +7ab +10b2

Question

how do I factor with two variables
a2 +7ab +10b2

calculusfunctions · Answer

Same as you would with one variable, except you have and b in your factors.

a² + 7ab + 10b² = (a + 5b)(a + 2b)

Do you get it?

anonymous · Answer

no can you break it down, where does the 5 come from, what is the answer?

anonymous · Answer

you have to split coefficient of ab into sum of 2 numbers so that their product becomes equal to the product of coefficients of b^2 and a^2

calculusfunctions · Answer

Check:

(a + 5b)(a + 2b)

= a(a + 2b) + 5b(a + 2b)

= a² + 2ab + 5ab + 10b²

= a² + 7ab + 10b²

anonymous · Answer

@kirkanthony 
see he has converted 7ab into 2ab+5ab because 2*5 = 1*10 :)

calculusfunctions · Answer

a² + 7ab + 10b²

Since the coefficient of a² is 1. Find two integers which yield a product of 10 and a sum of 7.
These two integers are clearly 2 and 5. correct? Now since the first term of the polynomial is a² and the last term is b², the first term of each binomial factor will be a and the second term of each binomial factor will contain a b.

calculusfunctions · Answer

Thanks @vikrantg4

anonymous · Answer

thank you

calculusfunctions · Answer

Hmmm...I don't get a medal?

anonymous · Answer

yes you do.