How do you combine 8a ^ { 3} b ^ { 2} - 8a ^ { 3} b ^ { 2} + 5d ^ { 2}8a3b28a3b2+5d2?

2 Answers
Jul 16, 2017

See a solution process below:

Explanation:

Factor out common terms:

8a^3b^2 - 8a^3b^2 + 5d^2 =>8a3b28a3b2+5d2

(8a^3b^2 - 8a^3b^2) + 5d^2 =>(8a3b28a3b2)+5d2

0 + 5d^2 =>0+5d2

5d^25d2

Jul 16, 2017

5d^25d2

Explanation:

The expression 8a ^ { 3} b ^ { 2} - 8a ^ { 3} b ^ { 2} + 5d ^ { 2}8a3b28a3b2+5d2 has 3 terms.

Only the first two are like terms and they are also additive inverses because they are identical but with opposite signs.

They will add to 00 The third term is unlike.

color(blue)(8a ^ { 3} b ^ { 2} - 8a ^ { 3} b ^ { 2}) + 5d ^ { 2}8a3b28a3b2+5d2

=color(blue)(0) +5d^2=0+5d2

=5d^2=5d2