What is expand (7x+3y)^3 ?

The solution to expand (7x+3y)^3 is 343x^3+441x^2y+189xy^2+27y^3

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expand (7x+3y)^3

expand

(7 x + 3 y)^{3}

343 x^{3} + 441 x^{2} y + 189 x y^{2} + 27 y^{3}

Solution steps

(7 x + 3 y)^{3}

Apply Perfect Cube Formula:

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

(7 x + 3 y)^{3} = (7 x)^{3} + 3 (7 x)^{2} \cdot 3 y + 3 \cdot 7 x (3 y)^{2} + (3 y)^{3}

= (7 x)^{3} + 3 (7 x)^{2} \cdot 3 y + 3 \cdot 7 x (3 y)^{2} + (3 y)^{3}

Simplify

(7 x)^{3} + 3 (7 x)^{2} \cdot 3 y + 3 \cdot 7 x (3 y)^{2} + (3 y)^{3} : 343 x^{3} + 441 x^{2} y + 189 x y^{2} + 27 y^{3}

= 343 x^{3} + 441 x^{2} y + 189 x y^{2} + 27 y^{3}

(u^{5})^{- 2}

(a^{- 2})^{- 1} 0

- 3 (2 x - 15)

10 x [- (- 2.5 + 7.5)]

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

What is expand (7x+3y)^3 ?
The solution to expand (7x+3y)^3 is 343x^3+441x^2y+189xy^2+27y^3