Question

Solve by using identity:



(a) [ 2X + 4 ] [ 2x – 4 ]

(b) [ 3xy – 1] [ 3xy + 1]
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Answer 1

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• Solve the following by using identity.

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$\sf(2x + 4)(2x - 4)$

$\sf = {(2x)}^{2} - {(4)}^{2}$

$\sf= 4 {x}^{2} - 16$

$\sf(3xy + 1)(3xy - 1)$

$\sf= {(3xy)}^{2} - {(1)}^{2}$

$\sf= 9 {x}^{2} {y}^{2} - 1$

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• $\sf(x + y)(x - y) = {x}^{2} - {y}^{2}$

Answer 2

Step-by-step explanation:

a. [ 2X + 4 ] [ 2x – 4 ]

(2X)² - 4². (using Identity (a+b)(a-b)=a²-b²)

4X²-16

b. [3xy – 1] [ 3xy + 1]

(3xy)² - 1². (using Identity (a+b)(a-b)=a²-b²)

9x²y²-1

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