What is expand (3xy+4z)^2 ?

The solution to expand (3xy+4z)^2 is 9x^2y^2+24xyz+16z^2

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expand (3xy+4z)^2

expand

(3 x y + 4 z)^{2}

9 x^{2} y^{2} + 24 x yz + 16 z^{2}

Solution steps

(3 x y + 4 z)^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

(3 x y)^{2} + 2 \cdot 3 x y \cdot 4 z + (4 z)^{2} : 9 x^{2} y^{2} + 24 x yz + 16 z^{2}

= 9 x^{2} y^{2} + 24 x yz + 16 z^{2}

(1 + 7 i) - (12 - 8 i)

(x^{5} y^{4})^{\frac{1}{2}}

- 9 (4 p - 6 q) + 8 q - 7 (3 q - 3 p)

\frac{2 + 5 + 15}{2 + 5 + 3}

lo g_{2} (18) - 2 lo g_{2} (3)

What is expand (3xy+4z)^2 ?
The solution to expand (3xy+4z)^2 is 9x^2y^2+24xyz+16z^2