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

Question

464 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-07-16T21:22:39

See a solution process below:

Factor out common terms:

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

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

#0 + 5d^2 =>#

#5d^2#

Answer 2 · 2017-07-16T21:25:18

#5d^2#

The expression #8a ^ { 3} b ^ { 2} - 8a ^ { 3} b ^ { 2} + 5d ^ { 2}# 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 #0# The third term is unlike.

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

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

#=5d^2#