What is expand (3x+4y-5z)^2 ?

The solution to expand (3x+4y-5z)^2 is 9x^2+24xy-30xz+16y^2-40yz+25z^2

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expand (3x+4y-5z)^2

expand

(3 x + 4 y - 5 z)^{2}

9 x^{2} + 24 x y - 30 x z + 16 y^{2} - 40 yz + 25 z^{2}

Solution steps

(3 x + 4 y - 5 z)^{2}

Apply exponent rule:

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

(3 x + 4 y - 5 z)^{2} = (3 x + 4 y - 5 z) (3 x + 4 y - 5 z)

= (3 x + 4 y - 5 z) (3 x + 4 y - 5 z)

Distribute parentheses

= 3 x \cdot 3 x + 3 x \cdot 4 y + 3 x (- 5 z) + 4 y \cdot 3 x + 4 y \cdot 4 y + 4 y (- 5 z) - 5 z \cdot 3 x - 5 z \cdot 4 y - 5 z (- 5 z)

Simplify

3 x \cdot 3 x + 3 x \cdot 4 y + 3 x (- 5 z) + 4 y \cdot 3 x + 4 y \cdot 4 y + 4 y (- 5 z) - 5 z \cdot 3 x - 5 z \cdot 4 y - 5 z (- 5 z) : 9 x^{2} + 24 x y - 30 x z + 16 y^{2} - 40 yz + 25 z^{2}

= 9 x^{2} + 24 x y - 30 x z + 16 y^{2} - 40 yz + 25 z^{2}

(5 x^{2} y - 6 y)^{2}

(125 x^{9} y^{6})^{\frac{1}{3}}

2 \frac{3}{4} \div 3

m - 3 - 3 m

\frac{12 j ^{5}}{( 3 j ^{4} ) ^{4}}

What is expand (3x+4y-5z)^2 ?
The solution to expand (3x+4y-5z)^2 is 9x^2+24xy-30xz+16y^2-40yz+25z^2