What is (2x-5y)^3-(2x-y)^3 ?

The solution to (2x-5y)^3-(2x-y)^3 is -48x^2y+144xy^2-124y^3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (2x-5y)^3-(2x-y)^3

simplify

(2 x - 5 y)^{3} - (2 x - y)^{3}

- 48 x^{2} y + 144 x y^{2} - 124 y^{3}

Solution steps

(2 x - 5 y)^{3} - (2 x - y)^{3}

Expand

(2 x - 5 y)^{3} : 8 x^{3} - 60 x^{2} y + 150 x y^{2} - 125 y^{3}

= 8 x^{3} - 60 x^{2} y + 150 x y^{2} - 125 y^{3} - (2 x - y)^{3}

Expand

- (2 x - y)^{3} : - 8 x^{3} + 12 x^{2} y - 6 x y^{2} + y^{3}

= 8 x^{3} - 60 x^{2} y + 150 x y^{2} - 125 y^{3} - 8 x^{3} + 12 x^{2} y - 6 x y^{2} + y^{3}

Group like terms

= 8 x^{3} - 8 x^{3} - 60 x^{2} y + 12 x^{2} y + 150 x y^{2} - 6 x y^{2} - 125 y^{3} + y^{3}

Add similar elements:

8 x^{3} - 8 x^{3} = 0

= - 60 x^{2} y + 12 x^{2} y + 150 x y^{2} - 6 x y^{2} - 125 y^{3} + y^{3}

Add similar elements:

- 60 x^{2} y + 12 x^{2} y = - 48 x^{2} y

= - 48 x^{2} y + 150 x y^{2} - 6 x y^{2} - 125 y^{3} + y^{3}

Add similar elements:

150 x y^{2} - 6 x y^{2} = 144 x y^{2}

= - 48 x^{2} y + 144 x y^{2} - 125 y^{3} + y^{3}

Add similar elements:

- 125 y^{3} + y^{3} = - 124 y^{3}

= - 48 x^{2} y + 144 x y^{2} - 124 y^{3}

x^{2} - y^{2} + 25 + 10 x

3 a (a - b) - 2 a (a + b)

(3 x - 1)^{2} - 9 x - 7

sin^{4} (a) + sin^{2} (a) cos^{2} (a) - sin^{2} (a)

d (\frac{x ^{6}}{3 - 2 x})

What is (2x-5y)^3-(2x-y)^3 ?
The solution to (2x-5y)^3-(2x-y)^3 is -48x^2y+144xy^2-124y^3