Question

. Write the following cubes in the expanded form:
(i) (3a + 4b)
(ii) (5p - 3q)​

Answer 1

CLEARLY EXPLAINED IN THE IMAGE

Hope it helps

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Answer 2

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Answer:

1) (3a+4b)³

We have an identity:

(a+b)³= a³+b³+3ab(a+b)

Now,

(3a+4b)³= (3a)³+(4b)³+3(3a)(4b)(3a+4b)

= 27a³+216b³+9a×4b(3a+4b)

= 27a³+216b³+36ab(3a+4b)

= 27a³+216b³+108a²b+144ab² =>Answer

2) (5p-3q)³

Another identity:

(a-b)³= a³-b³-3ab(a-b)

=(5p)³-(3q)³-3(5p)(3q)(5p-3q)

= 125p³-27q³-15p×3q(5p-3q)

= 125p³-27q³-45pq(5p-3q)

=125p³-27q³-225p²q+135pq²=>Answer