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The simplified value of the expression ​0.752−0.2522×2.52−1.524×10.25 is ____. \frac{0.75^2 - 0.25^2}{2} \times \frac{2.5^2 - 1.5^2}{4} \tim
Question

The simplified value of the expression ​0.7520.2522×2.521.524×10.25 is ____. \frac{0.75^2 - 0.25^2}{2} \times \frac{2.5^2 - 1.5^2}{4} \times \frac{1}{0.25} \text{ is } \_\_\_\_.

A.

-1

B.

1

C.

0.5

D.

-0.5

Correct option is B

Given:

0.7520.2522×2.521.524×10.25\frac{0.75^2 - 0.25^2}{2} \times \frac{2.5^2 - 1.5^2}{4} \times \frac{1}{0.25}

Solution:

(0.750.25)(0.75+0.25)2×(2.51.5)(2.5+1.5)4×10.25\frac{(0.75 - 0.25)(0.75 + 0.25)}{2} \times \frac{(2.5 - 1.5)(2.5+1.5)}{4} \times \frac{1}{0.25}

0.50×12×1×44×10.25\frac{0.50 \times1}{2} \times \frac{1\times4}{4} \times \frac{1}{0.25}

= 1

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