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Factor of a Polynomial

if a+b=9 a...

Question

if $a + b = 9 a b = 14$ Then
$a^{3} + b^{3} =$

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Solution

Given $a + b = 9 a b = 14$
From identity $(a + b)^{3} = a^{3} + b^{3} + 3 a b (a + b) 9^{3} = a^{3} + b^{3} + 3 (14) (9) 729 = a^{3} + b^{3} + 378 a^{3} + b^{3} = 351$

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Q. a=3+b , then a³- b³-9ab is

a = 3 + b

, then what is the value of

a^{3} - b^{3} - 9 a b

(a + b = 3)

, then what is the value of

(a^{3} + b^{3} + 9 a b)

?

\frac{a}{b} + \frac{b}{a} = - 1

a^{3} - b^{3}

a + b + c = 9

then find the value of

(3 - a)^{3} + (3 - b)^{3} + (3 - c)^{3} - 3 (3 - a) (3 - b) (3 - c)

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Factor of a Polynomial

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