Question

Find the products using suitable identity:

Answer 1

Answer:

(a) t²+4t+4  (b) 9y²-4z²  (c) 8,990

Step-by-step explanation:

(a) (t-2)(t-2)

= (t-2)²  Using identity (a-b)²= a²+b²-2ab

= t²+(2)²+2(t)(2)

= t²+4+4t

Answer: t²+4t+4

(b) (3y-2z)(3y+2z)

Using identity (a+b)(a-b)=a²-b²

= (3y)²-(2z)²

= 9y²-4z²

Answer: 9y²-4z²

(c) 105x98

= (100+5)(100-2)

Using identity (x+a)(x+b)=x²+x(a+b)+ab

= (100)²+100 x [5+(-2)] + 5 x (-2)

= 10,000 + 100 x (-10) + (-10)

= 10,000 + (-1,000) -10

= 10,000 - 1,010

= 8,990

Answer: 8,990

Hope It Helps !!!