Which shows 232 − 172 being evaluated using the difference of perfect squares method?

Asked by maham237 @ in Mathematics viewed by 290 People

Which shows 232 − 172 being evaluated using the difference of perfect squares method?
232 − 172 = (529 + 289)(529 − 289) = 196,320
232 − 172 = 529 − 289 = 240
232 − 172 = (23 + 17)(23 − 17) = (40)(6) = 240
232 − 172 = (23 − 17)2 = (6)2 = 36

Answered by maham237 @


When a binomial is composed of two perfect squares separated by a subtraction symbol, a certain method called the difference of perfect squares can be used. The difference of perfect squares method can be done by multiplying the sum and difference of the two square roots. This is shown below:

23^2 - 17^2 = (23 + 17)(23-17) = (40)(6) = 240

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Which shows 232 − 172 being evaluated using the difference of perfect squares method? 232 − 172 = (529 + 289)(529 − 289) = 196,320 232 − 172 = 529 − 289 = 240 232 − 172 = (23 + 17)(23 − 17) = (40)(6) = 240 232 − 172 = (23 − 17)2 = (6)2 = 36

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