What is expand a(a-1)x^2+(2a^2-1)x+a(a+1) ?

The solution to expand a(a-1)x^2+(2a^2-1)x+a(a+1) is a^2x^2-ax^2+2xa^2-x+a^2+a

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expand a(a-1)x^2+(2a^2-1)x+a(a+1)

expand

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

a^{2} x^{2} - a x^{2} + 2 x a^{2} - x + a^{2} + a

Solution steps

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

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

Expand

a x^{2} (a - 1) : a^{2} x^{2} - a x^{2}

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

Expand

x (2 a^{2} - 1) : 2 x a^{2} - x

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

Expand

a (a + 1) : a^{2} + a

= a^{2} x^{2} - a x^{2} + 2 x a^{2} - x + a^{2} + a

(x - 2 y) + (2 y - 3 z) 3 + (3 z - x) 3

\frac{2}{3} \cdot (- b + a) + b

\frac{( 3 \frac{x}{5} )}{( 3 \frac{x}{4} )}

\frac{( 12 a ^{2} \cdot b )}{( 15 a \cdot b ^{3} )}

b^{7} + 1 b^{5}

What is expand a(a-1)x^2+(2a^2-1)x+a(a+1) ?
The solution to expand a(a-1)x^2+(2a^2-1)x+a(a+1) is a^2x^2-ax^2+2xa^2-x+a^2+a