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

The solution to expand (4x+3y+2z)^2 is 16x^2+24xy+16xz+9y^2+12yz+4z^2

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expand (4x+3y+2z)^2

expand

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

16 x^{2} + 24 x y + 16 x z + 9 y^{2} + 12 yz + 4 z^{2}

Solution steps

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

Apply exponent rule:

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

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

= (4 x + 3 y + 2 z) (4 x + 3 y + 2 z)

Distribute parentheses

= 4 x \cdot 4 x + 4 x \cdot 3 y + 4 x \cdot 2 z + 3 y \cdot 4 x + 3 y \cdot 3 y + 3 y \cdot 2 z + 2 z \cdot 4 x + 2 z \cdot 3 y + 2 z \cdot 2 z

Simplify

4 x \cdot 4 x + 4 x \cdot 3 y + 4 x \cdot 2 z + 3 y \cdot 4 x + 3 y \cdot 3 y + 3 y \cdot 2 z + 2 z \cdot 4 x + 2 z \cdot 3 y + 2 z \cdot 2 z : 16 x^{2} + 24 x y + 16 x z + 9 y^{2} + 12 yz + 4 z^{2}

= 16 x^{2} + 24 x y + 16 x z + 9 y^{2} + 12 yz + 4 z^{2}

lo g_{4} (65536)

4 (2 - 3 g)

\frac{\frac{3}{4 x ^{3}}}{\frac{10 x}{3}}

225 (\frac{π}{180})

\frac{30 x ^{6} y ^{8}}{12 x ^{7} y ^{5}}

What is expand (4x+3y+2z)^2 ?
The solution to expand (4x+3y+2z)^2 is 16x^2+24xy+16xz+9y^2+12yz+4z^2