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​Using BODMAS, simplify the following.​​79×215×25(622−552)\frac{7}{9}×\frac{21}{5}×25(62^2-55^2)97​×521​×25(622−552)​​
Question

​Using BODMAS, simplify the following.​

79×215×25(622552)\frac{7}{9}×\frac{21}{5}×25(62^2-55^2)​​

A.

66885

B.

84000

C.

86000

D.

42000

Correct option is A

Given:
79×215×25(622552)\frac{7}{9}×\frac{21}{5}×25(62^2-55^2) 
Formula Used:
a2b2=(a+b)(ab)a^2 - b^2 = (a+b) (a-b) 
Solution:
 79×215×25(622552) =79×215×25[(6255)(62+55)] =79×215×25[7×117] =79×215×25×7×117=66885\frac{7}{9}×\frac{21}{5}×25(62^2-55^2) \\\ \\=\frac{7}{9}×\frac{21}{5}×25[(62-55)(62+55)] \\\ \\= \frac{7}{9}×\frac{21}{5}×25[7 \times 117] \\\ \\= \frac{7}{9}×\frac{21}{5}×25× 7 \times 117 = 66885​​

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