What is a(a-x)+3a(x+2a)-a(x-3a) ?

The solution to a(a-x)+3a(x+2a)-a(x-3a) is 10a^2+ax

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simplify a(a-x)+3a(x+2a)-a(x-3a)

simplify

a (a - x) + 3 a (x + 2 a) - a (x - 3 a)

10 a^{2} + a x

Solution steps

a (a - x) + 3 a (x + 2 a) - a (x - 3 a)

Expand

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

= a^{2} - a x + 3 a (x + 2 a) - a (x - 3 a)

Expand

3 a (x + 2 a) : 3 a x + 6 a^{2}

= a^{2} - a x + 3 a x + 6 a^{2} - a (x - 3 a)

Expand

- a (x - 3 a) : - a x + 3 a^{2}

= a^{2} - a x + 3 a x + 6 a^{2} - a x + 3 a^{2}

Group like terms

= a^{2} + 6 a^{2} + 3 a^{2} - a x + 3 a x - a x

Add similar elements:

a^{2} + 6 a^{2} + 3 a^{2} = 10 a^{2}

= 10 a^{2} - a x + 3 a x - a x

Add similar elements:

- a x + 3 a x - a x = a x

= 10 a^{2} + a x

(\frac{x ^{\frac{1}{2}}}{2} - \frac{1}{2 x})^{2}

\frac{x ^{3} - x}{x ^{2} - 2 x + 1}

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

\frac{12 x - 3 y}{15 a + 10 b} \cdot \frac{21 a + 14 b}{20 x - 5 y}

1 \frac{1}{2} \cdot 3

What is a(a-x)+3a(x+2a)-a(x-3a) ?
The solution to a(a-x)+3a(x+2a)-a(x-3a) is 10a^2+ax