What is expand (4x+y)^3 ?

The solution to expand (4x+y)^3 is 64x^3+48x^2y+12xy^2+y^3

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expand (4x+y)^3

expand

(4 x + y)^{3}

64 x^{3} + 48 x^{2} y + 12 x y^{2} + y^{3}

Solution steps

(4 x + y)^{3}

Apply Perfect Cube Formula:

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

(4 x + y)^{3} = (4 x)^{3} + 3 (4 x)^{2} y + 3 \cdot 4 x y^{2} + y^{3}

= (4 x)^{3} + 3 (4 x)^{2} y + 3 \cdot 4 x y^{2} + y^{3}

Simplify

(4 x)^{3} + 3 (4 x)^{2} y + 3 \cdot 4 x y^{2} + y^{3} : 64 x^{3} + 48 x^{2} y + 12 x y^{2} + y^{3}

= 64 x^{3} + 48 x^{2} y + 12 x y^{2} + y^{3}

16 x + x^{5}

(3 x^{3} - 5 x^{2} - 6 x + 3) - (2 x^{3} + 4 x - 8)

(10 + 7 r - r^{2}) + (- 6 r^{2} - 18 + 5 r)

z + (z + 6)

5 a^{2} - 3 a + 2 - 8 a^{2} - 5 a + 7

What is expand (4x+y)^3 ?
The solution to expand (4x+y)^3 is 64x^3+48x^2y+12xy^2+y^3