Question

Expand using suitable identities (2x+3)(2x+5)

Answer 1

(2x+3)(2x+5)

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

2x*2x+(3+5)2x+(3)*(5)

4xsquare+16x+15

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Answer 2

FACTORISE :

( 2x + 3 ) ( 2x - 5 )

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USING IDENTITY :

( x + a ) ( x + b )

=> x² + x ( a + b ) + ab

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SOLUTION :

=> ( 2x )² + 2x ( 3 - 5 ) - ( 3 ) ( 5 )

=> 4x² + 2x ( - 2 ) - 15

=> 4x² - 4x - 15 ANS

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