Question

write the cube in the expanded form. 1. (3a+4b)³. 2. (5p-3q)³​

Answer 1

use the identities

• ( a + b )3 = a3 +b3 +3ab (a + b) and,

• ( a - b )3 = a3 -b3 - 3ab (a - b)

1. so in 1)

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

= 27a3 + 64b3 + 36ab ( 3a + 4b )

= 27a3 + 64b3 + 108a2b + 144ab2

1. and in 2)

( 5p - 3q )3 = (5p)3 - (3q)3 - (3 * 5p * 3q) (5p - 3q )

= 125p3 - 27q3 - 45pq ( 5p - 3q )

= 125p3 - 27q3 - 225p2q + 135 pq2

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Answer 2

The answer is in the attachment.