Problem

a. Use the distributive property of multiplication over addition or over subtraction and o...

a. Use the distributive property of multiplication over addition or over subtraction and other properties to show that

(a – b)2 = a2 – 2ab + b2

b. Use your results from (a) to compute each of the following mentally:

i. 982 (Hint: Write 98 = 100 – 2.)

ii. 992

iii. 9972

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