Question

(iv) 200.04 x 199.96
2. Find the following products.
(i) (x + y + Z)(x + y - Z)
(ii) (1 + m + n) (1 - m+n)
3. Simplify:
(i) (x + y)(x-7)(x2 + y2)
(ii) (2 - x)(2+x)(4+x2)
4. Simplify: (a + b)(a - b)+(b + c)(b-c)+(c + a)(c-a).
5. Find the value of:
(i) 102x98
(ii) 505 x 495
(iii) 1.97*2.03
6. Evaluate:
(i) 10032-9972
(ii) (282)2 – (18)
7. Simplify:
3.59 x 3.59 -2.41x 2.41
() 6.73 6.73-3.37x3.37
3.59 +2.41
3532x3532-1458 x 1458
37.85x37.85-12.15 x 12.15
3532+1458
(iv)
37.85-12.15
Multiple Choice Questions (MCQs)
Tick() the correct option.
8. (1 + a) (1 + a?) (1 + a') (1 - a) (1 + aº) equals
(a) 1 + a
(b) a + 1
(c) 1 - a16
9. What is the value of x, if 16x = (62) - (26)??
(d) 1 - a
(a) 162
(b) 198
(c) 196
(d) 192
168​

Answer 1

Answer:

In each of the problems, mostly, use a2-b2 = (a+b) (a-b)

I hope you'll be able to solve the problems

Answer 2

Q 2.

( i ) (x + y + Z) (x + y - Z)

= ( x + y ) ² - z ² .

( ii ) ( 1 + m + n) (1 - m+n)

= ( l + n ) ² - m²

Q 3 .

( i ) I don't know !!

( ii ) I don't know !!

Q 4 .

= (a + b)(a - b)+(b + c)(b-c)+(c + a)(c-a)

= ( a² - b² ) + ( b² - c² ) + ( c² - a² )

= ( a² - b² + b² - c² + c² - a² ) = 0

( each are variable cancels if its negative version ) .

Q 5. = identities :- ( a + b ) ( a - b ) = a² - b²

( i ) 102 × 98

= ( 100 + 2 ) ( 100 - 2 )

= ( 100 ) ² - ( 2 ) ² = 10000 - 4 = 9996 .

( ii ) 505 × 495

= ( 500 + 5 ) ( 500 - 5 )

= ( 500 ) ² - ( 5 ) ² = 250000 - 25 = 24995 .

( iii ) 1.97 × 2.03

= 1.97 × 2.03 = 3.9991.

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