25a^2 b^3 nbsp; ÷ 5a^2b =25a^2 b^3/5a^2b = 25 × nbsp; a × a × b × b × b/5 × a × a × b (rewriting in irreducible factor forms) =5 × b × b =5b^2 nbsp; ...

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Byju's Answer

Standard VIII

Mathematics

Division of a Monomial by a Monomial

25a2 b3 ÷ 5a2...

Question

$25 a^{2} b^{3} \div 5 a^{2} b =$ ___________.

5 b^{2}

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5 a^{2}

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5 a^{2} b^{2}

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5 a b^{2}

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Solution

The correct option is A $5 b^{2}$
$25 a^{2} b^{3} \div 5 a^{2} b$

$= \frac{25 a^{2} b^{3}}{5 a^{2} b}$

$= \frac{25 \times a \times a \times b \times b \times b}{5 \times a \times a \times b}$
(rewriting in irreducible factor forms)

$= 5 \times b \times b$

$= 5 b^{2}$

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Similar questions

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Q. Subtract

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- 5 a^{2} b

Q. Subtract:
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25a2b3÷5a2b= ___________.

The correct option is A 5b225a2b3÷5a2b =25a2b35a2b =25×a×a×b×b×b5×a×a×b (rewriting in irreducible factor forms) =5×b×b =5b2

$25 a^{2} b^{3} \div 5 a^{2} b =$ ___________.

The correct option is A $5 b^{2}$
$25 a^{2} b^{3} \div 5 a^{2} b$

$= \frac{25 a^{2} b^{3}}{5 a^{2} b}$

$= \frac{25 \times a \times a \times b \times b \times b}{5 \times a \times a \times b}$
(rewriting in irreducible factor forms)

$= 5 \times b \times b$

$= 5 b^{2}$