What is expand (2x+3y+5z)^2 ?

The solution to expand (2x+3y+5z)^2 is 4x^2+12xy+20xz+9y^2+30yz+25z^2

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expand (2x+3y+5z)^2

expand

(2 x + 3 y + 5 z)^{2}

4 x^{2} + 12 x y + 20 x z + 9 y^{2} + 30 yz + 25 z^{2}

Solution steps

(2 x + 3 y + 5 z)^{2}

Apply exponent rule:

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

(2 x + 3 y + 5 z)^{2} = (2 x + 3 y + 5 z) (2 x + 3 y + 5 z)

= (2 x + 3 y + 5 z) (2 x + 3 y + 5 z)

Distribute parentheses

= 2 x \cdot 2 x + 2 x \cdot 3 y + 2 x \cdot 5 z + 3 y \cdot 2 x + 3 y \cdot 3 y + 3 y \cdot 5 z + 5 z \cdot 2 x + 5 z \cdot 3 y + 5 z \cdot 5 z

Simplify

2 x \cdot 2 x + 2 x \cdot 3 y + 2 x \cdot 5 z + 3 y \cdot 2 x + 3 y \cdot 3 y + 3 y \cdot 5 z + 5 z \cdot 2 x + 5 z \cdot 3 y + 5 z \cdot 5 z : 4 x^{2} + 12 x y + 20 x z + 9 y^{2} + 30 yz + 25 z^{2}

= 4 x^{2} + 12 x y + 20 x z + 9 y^{2} + 30 yz + 25 z^{2}

1^{- 8}

97 \cdot 98 \cdot 99 \cdot 100 + 1

10 0^{l o g_{10} (x)}

(n - 8) \cdot \frac{6}{10 n - 80}

- \frac{5}{3} + 2

What is expand (2x+3y+5z)^2 ?
The solution to expand (2x+3y+5z)^2 is 4x^2+12xy+20xz+9y^2+30yz+25z^2