How do you factor #2x^2+7xy-15y^2#?

3 Answers
Mar 16, 2018

#color(magenta)(=(2x-3y)(x+5y)#

Explanation:

#2x^2+7xy-15y^2#

#=2x^2+10xy-3xy-15y^2#

#=2x(x+5y)-3y(x+5y)#

#color(magenta)(=(2x-3y)(x+5y)#

~Hope this helps! :)

Mar 16, 2018

#(x+5y)(2x-3y)#

Explanation:

#"factor using the a-c method"#

#"The factors of - 30 which sum to + 7 are + 10 and - 3"#

#rArr2x^2+10xy-3xy-15y^2larrcolor(blue)"split middle term"#

#=color(red)(2x)(x+5y)color(red)(-3y)(x+5y)larrcolor(blue)"factor by grouping"#

#=(x+5y)(color(red)(2x-3y))#

#rArr2x^2+7xy-15y^2=(x+5y)(2x-3y)#

Mar 16, 2018

#(x+5y)(2x-3y)#

Explanation:

#2x^2+7xy-15y^2 = 2x^2+10xy-3xy-15y^2#

#=2x(x+5y)-3y(x+5y)=(x+5y)(2x-3y)# [Ans]