What is expand 1+(2g-h)^3 ?

The solution to expand 1+(2g-h)^3 is 1+8g^3-12g^2h+6gh^2-h^3

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expand 1+(2g-h)^3

expand

1 + (2 g - h)^{3}

1 + 8 g^{3} - 12 g^{2} h + 6 g h^{2} - h^{3}

Solution steps

1 + (2 g - h)^{3}

Apply Perfect Cube Formula:

(a - b)^{3} = a^{3} - 3 a^{2} b + 3 a b^{2} - b^{3}

(2 g - h)^{3} = (2 g)^{3} - 3 (2 g)^{2} h + 3 \cdot 2 g h^{2} - h^{3}

= 1 + (2 g)^{3} - 3 (2 g)^{2} h + 3 \cdot 2 g h^{2} - h^{3}

Simplify

(2 g)^{3} - 3 (2 g)^{2} h + 3 \cdot 2 g h^{2} - h^{3} : 8 g^{3} - 12 g^{2} h + 6 g h^{2} - h^{3}

= 1 + 8 g^{3} - 12 g^{2} h + 6 g h^{2} - h^{3}

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

(- a^{3} b^{2})^{5}

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

h (t + 1)

28 v^{3} x^{8} + 24 x^{3} y^{6}

What is expand 1+(2g-h)^3 ?
The solution to expand 1+(2g-h)^3 is 1+8g^3-12g^2h+6gh^2-h^3