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Algebraic Quadratic Identity

Question 86 x...

Question

Question 86 (xvi)

Using suitable identities, evaluate the following:

$(35.4)^{2} - (14.6)^{2}$

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Solution

We have,
$(35.4)^{2} - (14.6)^{2} = (35.4 + 14.6) (35.4 - 14.6) = 50 \times 20.8$
$= 1040$ [using the identity, $(a + b) (a - b) = a^{2} - b^{2}$ ]

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Algebraic Quadratic Identity

Standard VIII Mathematics

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