What is expand notable(a-ab)^2 ?

The solution to expand notable(a-ab)^2 is ea^3lnotb-2ea^3lnotb^2+ea^3lnotb^3

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expand notable(a-ab)^2

expand

n o t ab l e (a - ab)^{2}

e a^{3} l n o t b - 2 e a^{3} l n o t b^{2} + e a^{3} l n o t b^{3}

Solution steps

n o t ab l e (a - ab)^{2}

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

= e a l n o t b (a^{2} b^{2} - 2 a^{2} b + a^{2})

= e a l n o t b (a^{2} - 2 a^{2} b + a^{2} b^{2})

Distribute parentheses

= n o t ab l e a^{2} + n o t ab l e (- 2 a^{2} b) + n o t ab l e a^{2} b^{2}

Apply minus-plus rules

+ (- a) = - a

= e a^{2} a l n o t b - 2 e a^{2} a l n o t bb + e a^{2} a l n o t b^{2} b

Simplify

e a^{2} a l n o t b - 2 e a^{2} a l n o t bb + e a^{2} a l n o t b^{2} b : e a^{3} l n o t b - 2 e a^{3} l n o t b^{2} + e a^{3} l n o t b^{3}

= e a^{3} l n o t b - 2 e a^{3} l n o t b^{2} + e a^{3} l n o t b^{3}

(x - (- \frac{1}{2})) (x - (- 2)) (x - 4) (x - 6)

7 (10 - 5)

(f - g) (2 π)

- \frac{6 ( - 3 x ^{2} + 1 )}{( 3 x ^{2} + 1 ) ^{2}}

\frac{- 3 x ^{2} + 8 x + 3}{( x ^{2} + 1 ) ^{2}}

What is expand notable(a-ab)^2 ?
The solution to expand notable(a-ab)^2 is ea^3lnotb-2ea^3lnotb^2+ea^3lnotb^3