Using an identity- evaluate 297 - 303-

The correct option is C 89991To evaluate : nbsp;297 × 303 297 = 300 3 303 = 300+ 3 Using the identity, (a b)(a + b) = a^2 nbsp; b^2 Hence, 297 × n ...

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Standard VIII

Mathematics

Algebraic Identities

Using an iden...

Question

Using an identity, evaluate
$297 \times 303.$

90001

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89998

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90008

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89991

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Solution

The correct option is D 89991
To evaluate : 297 $\times$ 303
297 = 300 - 3
303 = 300+ 3

Using the identity,
$(a - b) (a + b) = a^{2} - b^{2}$

Hence,
$297 \times 303 = (300 - 3) (300 + 3) = 300^{2} - 3^{2} = 90000 - 9 = 89991$

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Using an identity, evaluate 297× 303.

The correct option is D 89991To evaluate : 297 × 303 297 = 300 - 3 303 = 300+ 3 Using the identity, (a−b)(a+b)=a2−b2 Hence, 297×303=(300−3)(300+3)=3002−32=90000−9=89991

Using an identity, evaluate
$297 \times 303.$

The correct option is D 89991
To evaluate : 297 $\times$ 303
297 = 300 - 3
303 = 300+ 3

Using the identity,
$(a - b) (a + b) = a^{2} - b^{2}$

Hence,
$297 \times 303 = (300 - 3) (300 + 3) = 300^{2} - 3^{2} = 90000 - 9 = 89991$