Question

without actual multiplication, find the square of 75 containing 5 in units place​

Answer 1

Answer:

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Answer 2

SOLUTION

TO DETERMINE

The square of 75 containing 5 in units place without actual multiplication

CONCEPT TO BE IMPLEMENTED

We are aware of the identity that

$\sf{ {(a + b)}^{2} = {a}^{2} + 2ab + {b}^{2} }$

EVALUATION

$\sf{ {(75)}^{2} }$

$= \sf{ {(70 + 5)}^{2} }$

$\sf{ = {(70 )}^{2} + 2 \times 70 \times 5 + {(5)}^{2} } \: \: (by \: above \: identity)$

$\sf{ =4900 + 700 + 25}$

$\sf{ =5625}$

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