Simplify the following using the formula:
(i)
(ii)
(iii)
(iv)
(v)
(vi)
(vii)
(viii)
(i)
Using formula:
(a – b) (a + b) = a2 – b2, we get
= (82 – 18) (82 + 18)
= 64 × 100
= 6400
Using formula:
(a – b) (a + b) = a2 – b2, we get
= (467 – 33) (467 + 33)
= (434) (500)
= 217000
Using formula:
(a – b) (a + b) = a2 – b2, we get
= (79 + 69) (79 – 69)
= (148) (10)
= 1480
Using formula:
(a – b) (a + b) = a2 – b2, we get
= (200 – 3) (200 + 3)
= (200)2 – (3)2
= 40000 – 9
= 39991
Using formula:
(a – b) (a + b) = a2 – b2, we get
= (100 + 3) (100 – 3)
= (100)2 – (3)2
= 10000 – 9
= 9991
Using formula:
(a – b) (a + b) = a2 – b2, we get
= (100 – 5) (100 + 5)
= (100)2 – (5)2
= 10000 – 25
= 9975
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
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