How do you combine like terms in #(- 7x ^ { 2} + 3) - ( 4x ^ { 2} + 2x - 1)#?

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Answer 1 · 2018-04-03T03:29:59

#(- 7x ^ { 2} + 3) - ( 4x ^ { 2} + 2x - 1)=-11x^2-2x+4#

Given:

#(- 7x ^ { 2} + 3) - ( 4x ^ { 2} + 2x - 1)#

Distribute the negative sign to simplify.

#rArr - 7x ^ { 2} + 3 - 4x ^ { 2} - 2x + 1#

Group the like terms together to simplify further.

#rArr -7x^2-4x^2-2x+3+1#

Add the two #x^2# terms to simplify.

Both the terms are negative and so answer will also be negative.

#rArr -11x^2 - 2x + 4#

Hence,

#(- 7x ^ { 2} + 3) - ( 4x ^ { 2} + 2x - 1)=-11x^2-2x+4#