Q. 44.2( 5 Votes )

# Simplify the foll

Answer :

(i)

Using formula:

(a – b) (a + b) = a2 – b2, we get

= (82 – 18) (82 + 18)

= 64 × 100

= 6400

(ii)

Using formula:

(a – b) (a + b) = a2 – b2, we get

= (467 – 33) (467 + 33)

= (434) (500)

= 217000

(iii)

Using formula:

(a – b) (a + b) = a2 – b2, we get

= (79 + 69) (79 – 69)

= (148) (10)

= 1480

(iv)

Using formula:

(a – b) (a + b) = a2 – b2, we get

= (200 – 3) (200 + 3)

= (200)2 – (3)2

= 40000 – 9

= 39991

(v)

Using formula:

(a – b) (a + b) = a2 – b2, we get

= (100 + 3) (100 – 3)

= (100)2 – (3)2

= 10000 – 9

= 9991

(vi)

Using formula:

(a – b) (a + b) = a2 – b2, we get

= (100 – 5) (100 + 5)

= (100)2 – (5)2

= 10000 – 25

= 9975

(vii)

Using formula:

(a – b) (a + b) = a2 – b2, we get

= (2- 0.2) (2 + 0.2)

= (2)2 – (0.2)2

= 4 – 0.04

= 3.96

(viii)

Using formula:

(a – b) (a + b) = a2 – b2, we get

= (10 – 0.2) (10 + 0.2)

= (10)2 - (0.2)2

= 100 – 0.04

= 90.96

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