What is (2x-3)^3-8x+12 ?

The solution to (2x-3)^3-8x+12 is 8x^3-36x^2+46x-15

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simplify (2x-3)^3-8x+12

simplify

(2 x - 3)^{3} - 8 x + 12

8 x^{3} - 36 x^{2} + 46 x - 15

Solution steps

(2 x - 3)^{3} - 8 x + 12

Expand

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

= 8 x^{3} - 36 x^{2} + 54 x - 27 - 8 x + 12

Group like terms

= 8 x^{3} - 36 x^{2} + 54 x - 8 x - 27 + 12

Add similar elements:

54 x - 8 x = 46 x

= 8 x^{3} - 36 x^{2} + 46 x - 27 + 12

Add the numbers:

- 27 + 12 = - 15

= 8 x^{3} - 36 x^{2} + 46 x - 15

b (2 a + a^{2} - 2 - a)

(a + b + c)^{2} + (a - b - c)^{2} + (b - c - a)^{2} + (c - b - a)^{2}

a^{10} a^{8} \cdot b^{3} b b^{2} \cdot c^{2}

(5 x + 4 y + 3 z)^{2}