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Popular >

expand (2x+y-1)^2

Solution

expand

(2 x + y - 1)^{2}

Solution

4 x^{2} + 4 x y - 4 x + y^{2} - 2 y + 1

Solution steps

(2 x + y - 1)^{2}

Apply exponent rule:

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

(2 x + y - 1)^{2} = (2 x + y - 1) (2 x + y - 1)

= (2 x + y - 1) (2 x + y - 1)

Distribute parentheses

= 2 x \cdot 2 x + 2 x y + 2 x (- 1) + y \cdot 2 x + yy + y (- 1) - 1 \cdot 2 x - 1 \cdot y - 1 \cdot (- 1)

Simplify

2 x \cdot 2 x + 2 x y + 2 x (- 1) + y \cdot 2 x + yy + y (- 1) - 1 \cdot 2 x - 1 \cdot y - 1 \cdot (- 1) : 4 x^{2} + 4 x y - 4 x + y^{2} - 2 y + 1

= 4 x^{2} + 4 x y - 4 x + y^{2} - 2 y + 1

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Frequently Asked Questions (FAQ)

What is expand (2x+y-1)^2 ?
The solution to expand (2x+y-1)^2 is 4x^2+4xy-4x+y^2-2y+1