What is expand (2x-3y-7)^2 ?

The solution to expand (2x-3y-7)^2 is 4x^2-12xy-28x+9y^2+42y+49

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expand (2x-3y-7)^2

expand

(2 x - 3 y - 7)^{2}

4 x^{2} - 12 x y - 28 x + 9 y^{2} + 42 y + 49

Solution steps

(2 x - 3 y - 7)^{2}

Apply exponent rule:

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

(2 x - 3 y - 7)^{2} = (2 x - 3 y - 7) (2 x - 3 y - 7)

= (2 x - 3 y - 7) (2 x - 3 y - 7)

Distribute parentheses

= 2 x \cdot 2 x + 2 x (- 3 y) + 2 x (- 7) - 3 y \cdot 2 x - 3 y (- 3 y) - 3 y (- 7) - 7 \cdot 2 x - 7 (- 3 y) - 7 (- 7)

Simplify

2 x \cdot 2 x + 2 x (- 3 y) + 2 x (- 7) - 3 y \cdot 2 x - 3 y (- 3 y) - 3 y (- 7) - 7 \cdot 2 x - 7 (- 3 y) - 7 (- 7) : 4 x^{2} - 12 x y - 28 x + 9 y^{2} + 42 y + 49

= 4 x^{2} - 12 x y - 28 x + 9 y^{2} + 42 y + 49

x^{2} + 4

\frac{1}{10} \cdot 2

5 x + 2 (1 + 4 x)

6500

6 x + 3 a + x + 4

What is expand (2x-3y-7)^2 ?
The solution to expand (2x-3y-7)^2 is 4x^2-12xy-28x+9y^2+42y+49