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

The solution to expand (3x+4y)^3 is 27x^3+108x^2y+144xy^2+64y^3

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expand (3x+4y)^3

expand

(3 x + 4 y)^{3}

27 x^{3} + 108 x^{2} y + 144 x y^{2} + 64 y^{3}

Solution steps

(3 x + 4 y)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

(3 x)^{3} + 3 (3 x)^{2} \cdot 4 y + 3 \cdot 3 x (4 y)^{2} + (4 y)^{3} : 27 x^{3} + 108 x^{2} y + 144 x y^{2} + 64 y^{3}

= 27 x^{3} + 108 x^{2} y + 144 x y^{2} + 64 y^{3}

12 - (- 8)

(\frac{1}{2})^{2} + (\frac{3}{2})^{2}

5 (3 x + 2)

7 rs - 5 rs + rs + 10 rs - 6 rs

19 \times 19

What is expand (3x+4y)^3 ?
The solution to expand (3x+4y)^3 is 27x^3+108x^2y+144xy^2+64y^3