Genius please answer on a notebook
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rationalise the denominator
now,
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Refer to the attachment.
- (x + y)² = x² + 2xy + y²
- (x + y)(x - y) = x² - y²
- An Algebraic identity is an equation, which is true for all values of the variables in the equation.
1) (x + y)² = x² + 2xy + y²
2) (x - y)² = x² - 2xy - y²
3) (x + y)(x - y) = x² - y²
4) (x + a)(x + b) = x² + (a + b)x + ab
5) (x + y)³ = x³ + 3x²y + 3xy² + y³
6) (x - y)³ = x³ - 3x²y + 3xy² - y³
7) x³ + y³ = (x + y)(x² - xy + y²)
8) x³ - y³ = (x - y)(x² + xy + y²)
9) (x + y + z)² = x² + y² + z² + 2xy + 2yz + 2xz
10) x³ + y³ - 3xyz = (x + y + z)(x² + y² + z² - xy - yz - xz
- If the product of two two irrational numbers is rational number then each of the two is the Rationalising factor of the other.
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