(i)(x-2)(x+3) (ii) (a-1)(a+1)(iii) 207 x 193 (iv) (2x+3y)(2x-3y)

by

(i)(x-2)(x+3) (ii) (a-1)(a+1)(iii) 207 x 193 (iv) (2x+3y)(2x-3y). Find These Product using Identity. [S.Chand ICSE Class 9 Fundamentals of Mathematics Chapter 3 Exercise 3.1 Solution]

(i)(x-2)(x+3)

= x(x+3)-2(x+3)

=x2+3x -2x-6

=x2+x – 6

(ii) (a-1)(a+1)

=(a2-12) [∵ a2-b2=(a+b)(a-b)]

=(a2-1)

(iii) 207 x 193

= (200+7)(200-7)

=(200)2-(7)2 [∵ a2-b2=(a+b)(a-b)]

= 40000-49

= 39951

(iv) (2x+3y)(2x-3y)

= (2x)2 -(3y)2

=4x2 -9y2 [∵ a2-b2=(a+b)(a-b)]

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