Sarthaks Test
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Use the identity (x + a) (x + b) = x2 + (a + b)x + ab to find the following products.

(i) (2x +5y) (2x + 3y) 

(ii) (2a2 +9) (2a2 + 5)

(iii) (xyz − 4) (xyz − 2)

1 Answer

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Best answer

(i) (2x +5y) (2x + 3y) 

= (2x)2 + (5y + 3y) (2x) + (5y) (3y)

= 4x2 + 16xy + 15y2

(ii) (2a2 +9) (2a2 + 5) 

= (2a2)2 + (9 + 5) (2a2) + (9) (5)

= 4a4 + 28a2 + 45

(vii) (xyz − 4) (xyz − 2)

+ (xyz)2 + [ (-4) + (-2) ] (xyz) + (-4) (-2)

= x2y2z2 - 6xyz + 8

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