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


(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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