1.

Find the following products:(i) (x – 3) (x – 2)(ii) (y2 – 4) (y2 – 3)(iii) (x + 4/3) (x + 3/4)

Answer»

(i) (x – 3) (x – 2)

= x (x – 2) – 3 (x – 2)

= x2 – 2x – 3x + 6

= x2 – 5x + 6

(ii) (y2 – 4) (y2 – 3)

= y2 (y2 – 3) – 4 (y2 – 3)

= y4 – 3y2 – 4y2 + 12

= y4 – 7y2 + 12

(iii) (x + 4/3) (x + 3/4)

= x (x + 3/4) + 4/3 (x + 3/4)

= x2 + 3x/4 + 4x/3 + 12/12

= x2 + 3x/4 + 4x/3 + 1

= x2 + 25x/12 + 1



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