Question

use identity ( x + a ) ( x + b) = x² + ( a + b) x + ab to find the product of the following . (1) ( x + 3 ) ( x + 7 ) . (2) ( 2a² + a) ( 2a² + 5 ) ​

Answer 1

1. x+3 x+7

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Answer 2

Understandingthequestion

This question says that we have to use an identity ( x + a ) ( x + b) = x² + ( a + b) x + ab and now we have to find the product of ( x + 3 ) ( x + 7 ) and ( 2a² + a) ( 2a² + 5 )

{\bold{\sf{\underline{Full \: solution}}}}

Fullsolution

{\small{\red{\bold{\sf{Answer \: 1}}}}}Answer1

Using property or identity

➥ ( x + a ) ( x + b) = x² + ( a + b) x + ab

➥ ( x + 3 ) ( x + 7 )

➥ x² + ( 7 + 3 )x + 7 × 3

➥ x² + 10x + 21

{\small{\red{\bold{\sf{Answer \: 2}}}}}Answer2

Using property or identity

➥ ( x + a ) ( x + b) = x² + ( a + b) x + ab

➥ ( 2a² + a) ( 2a² + 5 )

➥ ( 2a² )² + ( a + 5 ) ( 2a² ) + 5 × a

➥ 4a⁴ + 2a³ + 10a² + 5a