How do you combine like terms in #(4x - 2) ( 3x - 5) + 2( 7x + 5) ( 2x - 6)#?

1 Answer
Mia
Nov 24, 2016

#=40x^2-90x-50#

Explanation:

Combining like terms is done by expanding the given algebraic
#" "#
expression.
#" "#
Expanding this expression is done by multiplying the factors and
#" "#
applying distributive property.
#" "#
Distributive Property:
#" "#
#color(red)((a+b)(c+d)=axxc + axxd +bxxc +bxxd)#
#" "#
#" "#
Expanding the algebraic expression:
#" "#
#(4x-2)(3x-5)+2(7x+5)(2x-6)#
#" "#
#=(12x^2-20x-6x+10)+2(14x^2-42x+10x-30)#
#" "#
#=12x^2-20x-6x+10+28x^2-84x+20x-60#
#" "#
#=12x^2+28x^2cancel(-20x)-6x-84xcancel(+20x)+10-60#
#" "#
#=40x^2-90x-50#

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