How do you combine like terms in #(7a ^ { 2} - 3b ^ { 2} + 10) - ( - 2a ^ { 2} + b ^ { 2} - 12)#?

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Answer 1 · 2018-06-16T01:10:18

#(7a^2-3b^2+10)-(-2a^2+b^2-12)=color(blue)(9a^2-4b^2+22#

Simplify:

#(7a^2-3b^2+10)-(-2a^2+b^2-12)#

Simplify.

#7a^2-3b^2+10-(-2a^2+b^2-12)#

Simplify parentheses.

#7a^2-3b^2+10+2a^2-b^2+12)#

Collect like terms.

#(7a^2+2a^2)+(-3ab^2-b^2)+(10+12)#

Combine like terms.

#9a^2-4b^2+22#