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Write the following cubes in the expand...

Write the following cubes in the expanded form:`(i)(3a + 4b)^3\ \ \ \ (i i) (5p-3q)^3`

Text Solution

Verified by Experts

Here, we will use the below formulas:
`(x+y)^3 =x^3+y^3+3xy(x+y)`
`(x-y)^3 =x^3-y^3-3xy(x-y)`
(i) `(3a+4b)^3 = (3a)^3+(4b)^3+3*3a*4b(3a+4b)`
`=27a^3+64b^3+108a^2b+144ab^2`

(ii)`(5p-3q)^3 = (5p)^3-(3q)^3 - 3*5p*3q(5p-3q)`
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