The correct option is C q^3 p^3Given, (p^3q^6 p^6q^3) ÷ p^3q^3 ⇒ p^3q^6 p^6q^3/p^3q^3 = p^3q^6/p^3q^3 p^6q^3/p^3q^3 = p̸^3q^6/p̸^3q^3 p^6q̸^3/p^3q̸^3 = q^3 p ...

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Simplification of Rational Algebraic Expression

p3 q6-p6 q3 ÷...

Question

( $p^{3} q^{6} - p^{6} q^{3}) \div p^{3} q^{3}$ = _________.

q^{3} - p^{3}

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p^{3} - q^{3}

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p^{3} + q^{3}

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- p^{3} - q^{3}

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Solution

The correct option is A $q^{3} - p^{3}$
Given, ( $p^{3} q^{6} - p^{6} q^{3}) \div p^{3} q^{3}$
$\Rightarrow$ $\frac{p^{3} q^{6} - p^{6} q^{3}}{p^{3} q^{3}}$
= $\frac{p^{3} q^{6}}{p^{3} q^{3}} - \frac{p^{6} q^{3}}{p^{3} q^{3}}$
= $\frac{{p/}^{3} q^{6}}{{p/}^{3} q^{3}} - \frac{p^{6} {q/}^{3}}{p^{3} {q/}^{3}}$
= $q^{3} - p^{3}$

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Similar questions

Q. Evaluate

(p^{3} q^{6} - p^{6} q^{3}) \div p^{3} q^{3}

Q. Divide the given polynomial by the given monomial.

(p^{3} q^{6} - p^{6} q^{3}) \div p^{3} q^{3}

Q. Question 2(v)
Divide the given polynomial by the given monomial

(p^{3} q^{6} - p^{6} q^{3}) \div p^{3} q^{3}

Divide the given polynomial by the given monomial.

(i) (5x² − 6x) ÷ 3x

(ii) (3y⁸− 4y⁶ + 5y⁴) ÷ y⁴

(iii) 8(x³y²z² + x²y³z² + x²y²z³) ÷ 4x²y²z²

(iv) (x³ + 2x² + 3x) ÷ 2x

(v) (p³q⁶ − p⁶q³) ÷ p³q³

Q. Question 2(v)
Divide the given polynomial by the given monomial

(p^{3} q^{6} - p^{6} q^{3}) \div p^{3} q^{3}

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(p3q6−p6q3)÷p3q3 = _________.

The correct option is A q3−p3Given, (p3q6−p6q3)÷p3q3 ⇒ p3q6−p6q3p3q3 = p3q6p3q3−p6q3p3q3 = p/3q6p/3q3−p6q/3p3q/3 = q3−p3

( $p^{3} q^{6} - p^{6} q^{3}) \div p^{3} q^{3}$ = _________.