Identify the constant term from the expressions.
$a^{3} b^{3} - a^{3} b^{2} - a b^{2} - a b + 15$

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Solution

Constant terms are those terms having no literal factors
The constant term for the following algebraic expression is 15.

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Express the following algebraic fractions in the reduced from:

$\frac{a^{2} - a b + b^{2}}{a^{2} + a b} \div \frac{a^{3} + b^{3}}{a^{2} - b^{2}}$

n

(a + b) + (a^{2} + a b + b^{2}) + (a^{3} + a^{2} b + a b^{2} + b^{3}) + . . . . .

a \neq 1, b \neq 1 a n d a \neq b

a^{3} - b^{3} - a^{2} b + a b^{2} + a^{2} - b^{2}

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

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