1.

(x+5) (x+2) ,Use suitable identities to find the given product.

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Solution :

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We KNOW the algebraic identity ,

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

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Now ,

( x + 5 )( x + 2 )

= x² + ( 5 + 2 )x + 5 × 2

= x² + 7X + 10

Therefore ,

( x + 5 )( x + 2 ) = x² + 7x + 10

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