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Find the simplified value of the expression (0.4×0.4+0.04×0.04−0.8×0.04)(0.72)\frac{(0.4×0.4+0.04×0.04-0.8×0.04)}{(0.72 )}(0.72)(0.4×0.4+0.04×0.0
Question

Find the simplified value of the expression (0.4×0.4+0.04×0.040.8×0.04)(0.72)\frac{(0.4×0.4+0.04×0.04-0.8×0.04)}{(0.72 )}​​

A.

0.18

B.

0.018

C.

0.72

D.

0.118

Correct option is A

Given:

 (0.4×0.4+0.04×0.040.8×0.04)(0.72)\frac{(0.4×0.4+0.04×0.04-0.8×0.04)}{(0.72 )} 

Solution: 

=(0.4×0.4+0.04×0.040.8×0.04)(0.72) =(0.16+0.00160.032)0.72 =0.12960.032 =0.18= \frac{(0.4×0.4+0.04×0.04-0.8×0.04)}{(0.72 )} \\\ \\= \frac{(0.16 + 0.0016 - 0.032)}{0.72} \\\ \\= \frac{ 0.1296}{0.032} \\\ \\= 0.18​​

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