Question

Simplify (510) ^ 2 − (490)^ 2

Answer 1

Answer:

510 multiply 510 + 490 multiply 490 = 500200

Step-by-step explanation:

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Answer 2

Answer:

Required value of the simplification is 20000.

Step-by-step explanation:

Given,

${510}^{2} - {490}^{2}$

We know,

${x}^{2} - {y}^{2} = (x + y)(x - y)$

So,

${510}^{2} - {490}^{2} \\ = (510 + 490)(510 - 490) \\ = 1000 \times 20 \\ = 20000$

This is a problem of Simplification part Algebra.

Some important Algebra formulas.

(a + b)² = a² + 2ab + b²

(a − b)² = a² − 2ab − b²

(a + b)³ = a³ + 3a²b + 3ab² + b³

(a - b)³ = a³ - 3a²b + 3ab² - b³

a³ + b³ = (a + b)³ − 3ab(a + b)

a³ - b³ = (a -b)³ + 3ab(a - b)

a² − b² = (a + b)(a − b)

a² + b² = (a + b)² − 2ab

a² + b² = (a − b)² + 2ab

a³ − b³ = (a − b)(a² + ab + b²)

a³ + b³ = (a + b)(a² − ab + b²)

Know more about Algebra,

1) https://brainly.in/question/13024124

2) https://brainly.in/question/1169549

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