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Division of a Polynomial by a Monomial

v Divide the ...

Question

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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Solution

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

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Similar questions

Q. 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}

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

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

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Division of a Polynomial by a Monomial

Standard VIII Mathematics

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