What is expand (x+y^2+3z)^2 ?

The solution to expand (x+y^2+3z)^2 is x^2+2xy^2+6xz+y^4+6y^2z+9z^2

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expand (x+y^2+3z)^2

expand

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

x^{2} + 2 x y^{2} + 6 x z + y^{4} + 6 y^{2} z + 9 z^{2}

Solution steps

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

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

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

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

Distribute parentheses

= xx + x y^{2} + x \cdot 3 z + y^{2} x + y^{2} y^{2} + y^{2} \cdot 3 z + 3 z x + 3 z y^{2} + 3 z \cdot 3 z

Simplify

xx + x y^{2} + x \cdot 3 z + y^{2} x + y^{2} y^{2} + y^{2} \cdot 3 z + 3 z x + 3 z y^{2} + 3 z \cdot 3 z : x^{2} + 2 x y^{2} + 6 x z + y^{4} + 6 y^{2} z + 9 z^{2}

= x^{2} + 2 x y^{2} + 6 x z + y^{4} + 6 y^{2} z + 9 z^{2}

9 e^{0}

0 - a

6 \times 2

- 4 \times 1 \times 6

\frac{1}{8} - 72

What is expand (x+y^2+3z)^2 ?
The solution to expand (x+y^2+3z)^2 is x^2+2xy^2+6xz+y^4+6y^2z+9z^2