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

The solution to expand (2x+2h-5)^2 is 4x^2+8xh-20x+4h^2-20h+25

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expand (2x+2h-5)^2

expand

(2 x + 2 h - 5)^{2}

4 x^{2} + 8 x h - 20 x + 4 h^{2} - 20 h + 25

Solution steps

(2 x + 2 h - 5)^{2}

Apply exponent rule:

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

(2 x + 2 h - 5)^{2} = (2 x + 2 h - 5) (2 x + 2 h - 5)

= (2 x + 2 h - 5) (2 x + 2 h - 5)

Distribute parentheses

= 2 x \cdot 2 x + 2 x \cdot 2 h + 2 x (- 5) + 2 h \cdot 2 x + 2 h \cdot 2 h + 2 h (- 5) - 5 \cdot 2 x - 5 \cdot 2 h - 5 (- 5)

Simplify

2 x \cdot 2 x + 2 x \cdot 2 h + 2 x (- 5) + 2 h \cdot 2 x + 2 h \cdot 2 h + 2 h (- 5) - 5 \cdot 2 x - 5 \cdot 2 h - 5 (- 5) : 4 x^{2} + 8 x h - 20 x + 4 h^{2} - 20 h + 25

= 4 x^{2} + 8 x h - 20 x + 4 h^{2} - 20 h + 25

(x + 4) (x + 2)

3 i + 5 i

(4 x - 1)^{5}

- 2 x^{3} (x - 1) (x + 5)

What is expand (2x+2h-5)^2 ?
The solution to expand (2x+2h-5)^2 is 4x^2+8xh-20x+4h^2-20h+25