Question

Factorize a²b³+ a³b²

Answer 1

= a²b³+ a³b²

= a²b²( b + a)

Answer 2

$Given \: algebraic \: expression \: a^{2}b^{3} + a^{3}b^{2}$

1. First term = a²b³ = a×a×b×b×b
2. Second term = a³b² = a×a×a×b×b
3. HCF (a²b³,a³b²) = a²b²

$= \blue{a^{2}b^{2}} b + \blue{ a^{2} } a \blue{b^{2}}$

$= \blue {a^{2}b^{2} }( b + a )$

Therefore.,

$\red{ Factors \:of \: a^{2}b^{3} + a^{3}b^{2}}$

$\green { = \blue {a^{2}b^{2} }( b + a )}$

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