How do you combine $(4 n^{3} - 4 n^{2} - 5 n) + (6 n^{2} + 5 n^{3} - 7 n)$ $(4n ^ { 3} - 4n ^ { 2} - 5n ) + ( 6n ^ { 2} + 5n ^ { 3} - 7n )$ ?

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Answer 1 · 2018-08-12T01:55:41

$\Rightarrow 9 n^{3} + 2 n^{2} - 12 n$ $color(maroon)(=> 9n^3 + 2n^2 - 12n$

$(4 n^{3} - 4 n^{2} - 5 n) + (6 n^{2} + 5 n^{3} - 7 n)$ $(4n^3-4n^2-5n) + (6n^2+5n^3-7n)$

#=> 4n^3 - 4n^2 - 5n + 6n^2 + 5n^3 - 7n, Removing braces.

$\Rightarrow 4 n^{3} + 5 n^{3} - 4 n^{2} + 6 n^{2} - 5 n - 7 n$ $=> 4n^3 + 5n^3 - 4n^2 + 6n^2 - 5n - 7 n$ , bringing like terms together.

$\Rightarrow 9 n^{3} + 2 n^{2} - 12 n$ $color(maroon)(=> 9n^3 + 2n^2 - 12n$ , combining like terms.

Answer 2 · 2018-08-12T04:23:52

$9 n^{3} + 2 n^{2} - 12 n$ $9n^3+2n^2-12n$

We can start by removing the parenthesis, since they are unnecessary in this case.

Next, we combine the terms with like degrees to get:

$9 n^{3} + 2 n^{2} - 12 n$ $9n^3+2n^2-12n$

Hope this helps!

How do you combine (4n3−4n2−5n)+(6n2+5n3−7n)(4n ^ { 3} - 4n ^ { 2} - 5n ) + ( 6n ^ { 2} + 5n ^ { 3} - 7n )?