Question

(8x-3x^3+10x^2)-(-3x^2+11x^3-7)

Answer 1

Explanation:

Distribute the Negative Sign:

=8x−3x^3+10x^2−1(−3x^2+11x^3−7)

=8x−3x^3+10x^2−1(−3x^2)−1(11x^3)+(−1)(−7)

=8x-3x^3+10x^2+3x^2−11x^3+7

Combine Like Terms:

=8x−3x^3+10x^2+3x^2−11x^3+7

=(−3x^3−11x^3)+(10x^2+3x^2)+(8x)+(7)

=−14x^3+13x^2+8x+7

Answer 2

`\star \: \tt \: (8x - 3 {x}^(3) + 10 {x}^(2) ) - ( - 3 {x}^(2) + 11 {x}^(3) - 7)`

`\longrightarrow \tt \: 8x - 3 {x}^(3) + 10 {x}^(2) + 3 {x}^(2) - 11 {x}^(3) + 7`

`\longrightarrow \tt \: - 3 {x}^(3) - 11 {x}^(3) + 3 {x}^(2) + 10 {x}^(2) + 8x+ 7`

`\longrightarrow \boxed{\tt \: - 14 {x}^(3) + 13 {x}^(2) + 8x + 7}`

• Our final answer is -14x^3 + 13x^2 + 8x + 7 .

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