How do you combine like terms in #(4x + 9) ( x - 2) - ( 2x + 3) ^ { 2}#?

Question

443 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-01-26T17:25:53

#(4x+9)(x-2)-(2x+3)^2=-11x-27#

To combine like terms in #(4x+9)(x-2)-(2x+3)^2#, we need expand the terms #(4x+9)(x-2)# and #(2x+3)^2#, by multiplying them

#(4x+9)(x-2)-(2x+3)^2#

= #(4x(x-2)+9(x-2))-((2x+3)(2x+3))#

= #4x^2-8x+9x-18-(2x(2x+3)+3(2x+3))#

= #4x^2-8x+9x-18-(4x^2+6x+6x+9)#

= #4x^2+x-18-4x^2-12x-9#

= #-11x-27#