Question

Find the product (3p+2q+5) (2p2-5pq+Q2)

Answer 1

To find -

Find the product of -

(3p + 3q + 5 )( 2p² - 5pq + q² )

Solution -

(3p + 3q + 5 )( 2p² - 5pq + q² )

=> 3p ( 2p² - 5pq + q² ) + 3q ( 2p² - 5pq + q² ) + 5 ( 2p² - 5pq + q² )

=> [ 3p × 2p² - 3p × 5pq + 3p × q² ] + [ 3q × 2p² - 5pq × 3q + 3q × q² ] + [ 5 × 2p² - 5 × 5pq + 5 × q² ]

=> [ 6p³ - 15p²q + 3pq² ] + [ 6p²q - 15pq² + 3q³ ] + [ 10 p² - 25pq + 5q² ]

=> 6p³ - 15p²q + 6p²q + 3pq² - 15pq² - 25pq + 5q² + 3q³

=> 6p³ - 9p²q - 12pq² - 25pq + 5q² + 3q³ .

This is the required answer .

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