Expand $9 a (a + b)^{3}, 15 a^{2} b (a + b)^{2}$

Open in App

Solution

Solution:-
$9 a {(a + b)}^{3}$
$= 9 a (a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3})$
$= 9 a . a^{3} + 9 a .3 a^{2} b + 9 a .3 a b^{2} + 9 a . b^{3}$
$= 9 a^{4} + 27 a^{3} b + 27 a^{2} b^{2} + 9 a b^{3}$
$15 a^{2} b {(a + b)}^{2}$
$= 15 a^{2} b (a^{2} + 2 a b + b^{2})$
$= 15 a^{2} b . a^{2} + 15 a^{2} b .2 a b + 15 a^{2} b . b^{2}$
$= 15 a^{4} b + 30 a^{3} b + 15 a^{2} b^{2}$

Suggest Corrections

Similar questions

\frac{45 (a^{4} - 3 a^{3} - 28 a^{2})}{9 a (a + 4)}

(a + b)^{2}

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

a^{2} - b^{2}

(a - b)^{2}

(x - (a + b))^{2}

Join BYJU'S Learning Program