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

The solution to expand (2x-5y+3)^2 is 4x^2-20xy+12x+25y^2-30y+9

Popular >

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

expand

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

4 x^{2} - 20 x y + 12 x + 25 y^{2} - 30 y + 9

Solution steps

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

Apply exponent rule:

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

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

= (2 x - 5 y + 3) (2 x - 5 y + 3)

Distribute parentheses

= 2 x \cdot 2 x + 2 x (- 5 y) + 2 x \cdot 3 - 5 y \cdot 2 x - 5 y (- 5 y) - 5 y \cdot 3 + 3 \cdot 2 x + 3 (- 5 y) + 3 \cdot 3

Simplify

2 x \cdot 2 x + 2 x (- 5 y) + 2 x \cdot 3 - 5 y \cdot 2 x - 5 y (- 5 y) - 5 y \cdot 3 + 3 \cdot 2 x + 3 (- 5 y) + 3 \cdot 3 : 4 x^{2} - 20 x y + 12 x + 25 y^{2} - 30 y + 9

= 4 x^{2} - 20 x y + 12 x + 25 y^{2} - 30 y + 9

x^{4} - 2 x^{3} - 23 x^{2} - 12 x + 36

- s - 11

- 8 p^{3} q^{7} - 4 p^{2} q^{3}

i 82 + i^{45}

cos (x) + cos^{2} (x) + sin^{2} (x)

What is expand (2x-5y+3)^2 ?
The solution to expand (2x-5y+3)^2 is 4x^2-20xy+12x+25y^2-30y+9