What is (-3+x)^3+(-4-x)^3 ?

The solution to (-3+x)^3+(-4-x)^3 is -21x^2-21x-91

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simplify (-3+x)^3+(-4-x)^3

simplify

(- 3 + x)^{3} + (- 4 - x)^{3}

- 21 x^{2} - 21 x - 91

Solution steps

(- 3 + x)^{3} + (- 4 - x)^{3}

Expand

(- 3 + x)^{3} : - 27 + 27 x - 9 x^{2} + x^{3}

= - 27 + 27 x - 9 x^{2} + x^{3} + (- 4 - x)^{3}

Expand

(- 4 - x)^{3} : - 64 - 48 x - 12 x^{2} - x^{3}

= - 27 + 27 x - 9 x^{2} + x^{3} - 64 - 48 x - 12 x^{2} - x^{3}

Group like terms

= x^{3} - x^{3} - 9 x^{2} - 12 x^{2} + 27 x - 48 x - 27 - 64

Add similar elements:

x^{3} - x^{3} = 0

= - 9 x^{2} - 12 x^{2} + 27 x - 48 x - 27 - 64

Add similar elements:

- 9 x^{2} - 12 x^{2} = - 21 x^{2}

= - 21 x^{2} + 27 x - 48 x - 27 - 64

Add similar elements:

27 x - 48 x = - 21 x

= - 21 x^{2} - 21 x - 27 - 64

Subtract the numbers:

- 27 - 64 = - 91

= - 21 x^{2} - 21 x - 91

6 (12)

- 1 \times (- 10)

3 (x + 4) (x - 3)

- \frac{5}{7} \cdot 3

- \frac{3}{2} \times (- \frac{2}{3})