What is (2x-3)^3+(-64) ?

The solution to (2x-3)^3+(-64) is 8x^3-36x^2+54x-91

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simplify (2x-3)^3+(-64)

simplify

(2 x - 3)^{3} + (- 64)

8 x^{3} - 36 x^{2} + 54 x - 91

Solution steps

(2 x - 3)^{3} + (- 64)

Apply rule:

a + (- b) = a - b

(2 x - 3)^{3} + (- 64) = (2 x - 3)^{3} - 64

= (2 x - 3)^{3} - 64

Expand

(2 x - 3)^{3} : 8 x^{3} - 36 x^{2} + 54 x - 27

= 8 x^{3} - 36 x^{2} + 54 x - 27 - 64

Subtract the numbers:

- 27 - 64 = - 91

= 8 x^{3} - 36 x^{2} + 54 x - 91

(a) 7 + 357 - 35

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x^{2} y^{2} - x^{2} - 1 + y^{2}