What is (x-(2a+b)/3)*(x-(2b+a)/3)*(x-b) ?

The solution to (x-(2a+b)/3)*(x-(2b+a)/3)*(x-b) is ((3x-2a-b)(3x-2b-a)(x-b))/9

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

simplify

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

\frac{( 3 x - 2 a - b ) ( 3 x - 2 b - a ) ( x - b )}{9}

Solution steps

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

Join

x - \frac{2 a + b}{3} : \frac{3 x - 2 a - b}{3}

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

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

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

Simplify

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

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

Apply the fraction rule:

\frac{\frac{a}{b}}{c} = \frac{a}{b \cdot c}

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

Multiply the numbers:

3 \cdot 3 = 9

= \frac{( 3 x - 2 a - b ) ( x \cdot 3 - 2 b - a ) ( x - b )}{9}

= \frac{( 3 x - 2 a - b ) ( 3 x - 2 b - a ) ( x - b )}{9}

δ (3 - 2 x), x

\frac{( - 1 ) ^{n - 1}}{( n + 4 ) ^{2}}

\frac{1}{4 - x ^{3}}

(y^{2} - 2 x e^{y}) d x

What is (x-(2a+b)/3)*(x-(2b+a)/3)*(x-b) ?
The solution to (x-(2a+b)/3)*(x-(2b+a)/3)*(x-b) is ((3x-2a-b)(3x-2b-a)(x-b))/9