Evaluate using factors 4012- 400-4003

The correct option is A 320400 Given 401^2 × 400 400^3 Taking 400 common , we have = 400(401^2 400^2) ( its in the form a^2 b^2) = 400(401 + 400)( ...

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Standard VIII

Mathematics

Factorisation Using Algebraic Identities

Evaluate usin...

Question

Evaluate using factors $401^{2} \times 400 - 400^{3}$

320000

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3204

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320400

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32040

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Solution

The correct option is C
320400

Given $401^{2} \times 400 - 400^{3}$
Taking 400 common , we have
= $400 (401^{2} - 400^{2})$ ( its in the form $a^{2} - b^{2}$ )

= $400 (401 + 400) (401 - 400)$

= $(400) (801) (1)$

= 320400

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Evaluate using factors 4012×400−4003

The correct option is C 320400 Given 4012×400−4003 Taking 400 common , we have = 400(4012−4002) ( its in the form a2−b2) = 400(401+400)(401−400) = (400)(801)(1) = 320400

Evaluate using factors $401^{2} \times 400 - 400^{3}$

The correct option is C
320400

Given $401^{2} \times 400 - 400^{3}$
Taking 400 common , we have
= $400 (401^{2} - 400^{2})$ ( its in the form $a^{2} - b^{2}$ )

= $400 (401 + 400) (401 - 400)$

= $(400) (801) (1)$

= 320400