Multiply the polynomials - 7 pq and 43 p2q3

Using the property, a^ma^n=a^m+n : 7pq×43p^2q^3 =7×43×p^1+2q^1+3 #160; #160; #160; #160; #160; #160; #160; #160; #160; ...

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Standard VIII

Mathematics

Multiplication of Any Polynomial

Multiply the ...

Question

Multiply the polynomials :
$7 p q$ and $\frac{4}{3} p^{2} q^{3}$

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Solution

Using the property, $a^{m} a^{n} = a^{m + n}$ :
$7 p q \times \frac{4}{3} p^{2} q^{3}$ $= 7 \times \frac{4}{3} \times p^{1 + 2} q^{1 + 3}$

$= \frac{28}{3} p^{3} q^{4}$

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Multiply the polynomials :7 pq and 43 p2q3

Using the property, aman=am+n:7pq×43p2q3=7×43×p1+2q1+3 =283p3q4

Multiply the polynomials :
$7 p q$ and $\frac{4}{3} p^{2} q^{3}$

Using the property, $a^{m} a^{n} = a^{m + n}$ :
$7 p q \times \frac{4}{3} p^{2} q^{3}$ $= 7 \times \frac{4}{3} \times p^{1 + 2} q^{1 + 3}$

$= \frac{28}{3} p^{3} q^{4}$