Question

Factorise 12a^b+15ab^2​

Answer 1

Answer & Step-by-step explanation:

3ab(4+5b)

Answer 2

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$\huge{\underline{\sf{\red{Required\:Answer:}}}}$

$:\implies\:\:\sf{12a^2b=2\times2\times3\times a \times a\times b}$

$:\implies\:\:\sf{15ab^2=3\times5\times a\times b \times b }$

Now,

$:\implies\:\:\sf{12a^2b+15ab^2}$

$:\implies\:\: \sf {3(3 \times a \times b\times2\times2\times a)+(3\times a\times \times b \times 5 \times b )}$

$:\implies\:\: \sf {3 \times a \times b[(2\times2\times a)+( 5 \times b )]}$

$:\implies\:\: \sf {3 a b\times(4a+5b)}$

$:\implies\:\: \sf {3 a b(4a+5b)}$

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