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hodyreva [135]
3 years ago
10

(5n2 – 4nm - 9m²) + (7n2 + 4nm +8m²) =

Mathematics
1 answer:
Flauer [41]3 years ago
5 0

Answer:

\left(5n^2-4nm-9m^2\right)+\left(7n^2+4nm+8m^2\right)=12n^2-m^2

Step-by-step explanation:

Given the expression

\left(5n^2\:-\:4nm\:-\:9m^2\right)\:+\:\left(7n^2\:+\:4nm\:+8m^2\right)

Remove parentheses: (a) = a

=5n^2-4nm-9m^2+7n^2+4nm+8m^2

Group like terms

=5n^2+7n^2-4nm+4nm-9m^2+8m^2

Add similar elements: 5n^2+7n^2=12n^2

=12n^2-4nm+4nm-9m^2+8m^2

Add similar elements: -4nm+4nm=0

=12n^2-9m^2+8m^2

Add similar elements:  -9m^2+8m^2=-m^2

=12n^2-m^2

Therefore, we conclude that:

\left(5n^2-4nm-9m^2\right)+\left(7n^2+4nm+8m^2\right)=12n^2-m^2

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