Use the identity (x + a)(x + b) to find the product of
(2x + 5y)(2x + 3y).
$[2 M a r k s]$

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Solution

(x + a)(x + b)=x² + (a+b)x + ab

(2x + 5y)(2x + 3y)
a=5y, b= 3y, x=2x
$[1 M a r k]$

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

(2x + 5y)(2x + 3y) = 4x² + 16xy + 15y²
$[1 M a r k]$

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Similar questions

(x + a) (x + b) = x^{2} + (a + b) x + a b

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

(i) (x + 3) (x + 7) (ii) (4x +5) (4x + 1)

(iii) (4x − 5) (4x − 1) (iv) (4x + 5) (4x − 1)

(v) (2x +5y) (2x + 3y) (vi) (2a² +9) (2a² + 5)

(vii) (xyz − 4) (xyz − 2)

(x + a) (x + b) = x^{2} + (a + b) x + a b

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

(2 a^{2} + 9) (2 a^{2} + 5)

[2 M a r k s]

[2 M a r k s]

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