# CBSE Class 10 Answered

**Show that (a-b)², (a²+b²), (a+b)² are in arithmetic progression.**

Asked by apal63216 | 02 Jan, 2021, 07:40: PM

Expert Answer

Hint

Check if the common difference is same. If so, the given progression will be AP.

(a - b)², (a² + b²), (a + b)²

1st term = (a - b)²

2nd term = (a² + b²)

3rd term = (a + b)²

Check 2nd term - 1st term

= (a² + b²) - (a - b)²

= (a² + b²) - (a

^{2}- 2b + b^{2})= 2b

Check 3rd term - 2nd term

= (a + b)² - (a² + b²)

= a

^{2}+ 2b + b^{2}- a² - b²= 2b

So the common difference is same. Its is AP.

Answered by | 03 Jan, 2021, 11:27: AM

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