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

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

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

expand

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

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

Solution steps

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

Apply exponent rule:

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

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

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

Distribute parentheses

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

Simplify

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

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

- \frac{3}{4} - \frac{3}{4}

\frac{1}{12} - \frac{1}{2} + \frac{2}{3}

\frac{x ^{2}}{x - 3} - \frac{6 x - 9}{x - 3}

5 \times 18

\frac{x ^{2} - 2 x - 63}{x ^{2} + 3 x - 28}

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