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Popular >

expand (2x^2-x)^2

Solution

expand

(2 x^{2} - x)^{2}

Solution

4 x^{4} - 4 x^{3} + x^{2}

Solution steps

(2 x^{2} - x)^{2}

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

(2 x^{2} - x)^{2} = (2 x^{2})^{2} - 2 \cdot 2 x^{2} x + x^{2}

= (2 x^{2})^{2} - 2 \cdot 2 x^{2} x + x^{2}

Simplify

(2 x^{2})^{2} - 2 \cdot 2 x^{2} x + x^{2} : 4 x^{4} - 4 x^{3} + x^{2}

= 4 x^{4} - 4 x^{3} + x^{2}

Popular Examples

factor y^2+4y-5 factor

y^{2} + 4 y - 5

simplify cos(x)(cos(2x)-2sin^2(x))simplify

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

simplify sqrt(4.5*10^9)simplify

4.5 \cdot 1 0^{9}

simplify 4+5/2 simplify

4 + \frac{5}{2}

\frac{81}{64}

Frequently Asked Questions (FAQ)

What is expand (2x^2-x)^2 ?
The solution to expand (2x^2-x)^2 is 4x^4-4x^3+x^2