Question

Express the following as in the form of (a+b)(a-b)

(i) 20a2 – 45b2
(ii) 32x2y2 – 8​

Answer 1

Answer:

(i)20a²-45b²

(2√5a)²-(3√5b)²

(2√5a-3√5b)(2√5a+3√5b)

(ii)32x²y²-8

(4√2xy)²-(2√2)²

(4√2xy-2√2)(4√2xy-2√2)

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Answer 2

Answer:

                 

(1) 20a2 – 45b2 = 5(4a2 – 9b2) = 5(2a + 3b)(2a – 3b)

(2)32x2y2 – 8 = 8( 4x2y2 – 1) = 8(2xy + 1)(2xy – 1)

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