Question

Using suitable identities evaluate
(35.4)^2 - (14.6)^2

Answer 1

Answer:

1040

Step-by-step explanation:

(35.4)^2 - (14.6)^2

(35.4-14.6) (35.4+14.6)(III identity)

20.8*50

1040

Answer 2

The value of the given expression is 1040.

Explanation:

According to the algebraic identity : $a^2-b^2=(a+b)(a-b)$

The given expression : $(35.4)^2 - (14.6)^2$

Here a= 35.4  and 14.6

Then, $(35.4)^2 - (14.6)^2 = (35.4+14.6)(35.4-14.6)$   [∵ $a^2-b^2=(a+b)(a-b)$]

$=(50.00)(20.80)$

$=1040.00$

∴ The value of $(35.4)^2 - (14.6)^2=1040$

Therefore, the required value of the given expression is 1040.

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