27 * 29 = __________ (calculate without direct calculation).a)783b)753c)763d)793Correct answer is option 'A'. Can you explain this answer?

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ACT Exam > ACT Questions > 27 * 29 = __________ (calculate without direc...

27 * 29 = __________ (calculate without direct calculation).

a)
783
b)
753
c)
763
d)
793

Correct answer is option 'A'. Can you explain this answer?

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Verified Answer

27 * 29 = __________ (calculate without direct calculation).a)783b)753...

We know that (a + b) * (a + c) = a² + (b + c)a + bc
27 * 29 can also be written as (25 + 2) * (25 + 4)
Now using above identity, 27 * 29 = (25 + 2) * (25 + 4)
= 25² + (2 + 4)25 + (4)(2)
= 625 + 6(25) + 8
= 625 + 150 + 8
= 783.

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27 * 29 = __________ (calculate without direct calculation).a)783b)753...

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