Question

find the cube of 2a+3b​

Answer 1

Answer:

(2a+3b)³

(2a)³+(3b)³+3ab(a+b)

8a³+27b³+3a²b+3ab²

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Answer 2

Answer:

$\sf {(2a+3b)}^{3} = {(2a)}^{3} + {(3b)}^{3} + 3 \times 2a \times$

$\sf 3b \: (2a+3b)$

$\sf = {8a}^{3} + {27b}^{3} + 18ab \: (2a + 3b)$

$\sf = {8a}^{3} + {27b}^{3} + {36a}^{2}b + {54ab}^{2}$

$\sf = {8a}^{3} + {36a}^{2}b + {54ab}^{2} + {27b}^{3}$