5 a2 b3-15 a3 b2 - 5 a b-A- ab 2B- a b-3 a2C- a b2-3 a2 bD- 3 a2 b

The correct option is C ab^2+3a^2b(5a^2 b^3 + 15a^3b^2) nbsp; ÷ 5ab nbsp; = nbsp;5 × nbsp; a × a × b × b × b + 15 × nbsp; a × a × a × b × b /5 × a × ...

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Byju's Answer

Standard VIII

Mathematics

Division of a Polynomial by a Monomial

5 a2 b3+15 a3...

Question

$(5 a^{2} b^{3} + 15 a^{3} b^{2}) \div 5 a b =$ ___________.

a b^{2}

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a b + 3 a^{2}

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

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3 a^{2} b

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Solution

The correct option is C $a b^{2} + 3 a^{2} b$
$(5 a^{2} b^{3} + 15 a^{3} b^{2}) \div 5 a b$
$= \frac{5 \times a \times a \times b \times b \times b + 15 \times a \times a \times a \times b \times b}{5 \times a \times b}$
$= \frac{5 \times a \times a \times b \times b \times b}{5 \times a \times b}$ + $\frac{15 \times a \times a \times a \times b \times b}{5 \times a \times b}$
$= (a \times b \times b) + (3 \times a \times a \times b)$
$= a b^{2} + 3 a^{2} b$

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(5a2b3+15a3b2)÷5ab= ___________.

The correct option is C ab2+3a2b(5a2b3+15a3b2)÷5ab =5×a×a×b×b×b+15×a×a×a×b×b5×a×b =5×a×a×b×b×b5×a×b+ 15×a×a×a×b×b5×a×b =(a×b×b)+(3×a×a×b) =ab2+3a2b

$(5 a^{2} b^{3} + 15 a^{3} b^{2}) \div 5 a b =$ ___________.