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Using identity a^2 – b^2 = (a + b) (a – b) find the product (i) (2a + 7) (2a – 7) (ii) (p^2 + q^2) (p^2 – q^2)

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Using identity a2 – b2 = (a + b) (a – b) find the product

(i) (2a + 7) (2a – 7)

(ii) (p2 + q2) (p2 – q2)

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(i) (2a + 7) (2a – 7)

= (2a)2 – (1)2

= 22a2 – 72

= 4a2 – 49

(ii) (p2 + q2) (p2 – q2)

= (p2)2 – (q2)2

= p4 – q4

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