Question

Find the following product using appropriate identities
(1) (x + 5) (x + 5)
(ii) (p - 3) (p+3) (iii)(y- 1)(y-1)
(iv) (t + 2) (t + 4)
(v) 102 x 98
(vi) (x + 1)(x + 2)(x + 3)​

Answer 1

Answer:

1) ( x+5)(x+5) = (x+5)²

= x² + 5² + 2 x 5

= x² + 25 + 10x

2) (p-3)(p+3) = p²-9

3) (y-1)(y-1) = (y-1)²

= y² + 1² -2 y 1

= y² + 1 - 2y

4) (t+2)(t+4) = t² + (2+4)t + 2*4

= t² + 6t + 8

5) 102 * 98 = (100+2)(100-2)

= 100²-2²

= 10000-4

= 9996

6) (x+1)(x+2)(x+3) = ( x²+(1+2)x + 1*2)(x+3)

= ( x² + 3x + 2)(x+3)

= (x³ + 6x² + 11x + 6)