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

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

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

expand

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

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

Solution steps

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

Apply exponent rule:

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

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

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

Distribute parentheses

= 2 x \cdot 2 x + 2 x \cdot 3 y + 2 x (- 4) + 3 y \cdot 2 x + 3 y \cdot 3 y + 3 y (- 4) - 4 \cdot 2 x - 4 \cdot 3 y - 4 (- 4)

Simplify

2 x \cdot 2 x + 2 x \cdot 3 y + 2 x (- 4) + 3 y \cdot 2 x + 3 y \cdot 3 y + 3 y (- 4) - 4 \cdot 2 x - 4 \cdot 3 y - 4 (- 4) : 4 x^{2} + 12 x y - 16 x + 9 y^{2} - 24 y + 16

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

\frac{( 4 r ^{6} - 100 r ^{3} )}{( 24 r ^{3} + 288 r ^{2} + 840 r )}

(\frac{k}{l})^{\frac{1}{2}}

\frac{( x + 5 )}{5} - \frac{( x - 8 x ^{2} )}{x}

\frac{121}{( x - a )} + \frac{1}{( x ^{2} - a ^{2} )}

a^{5} + x^{5}

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