Identities
ICSE · Class 8 · Mathematics
All formulas from Identities in ICSE Class 8 Mathematics. Key equations, constants, and identities for board exam preparation.
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Formulas
2. Special Products of Two Binomials
(x + a)(x + b) = x^2 + (a + b)x + ab
(x + a)(x - b) = x^2 + (a - b)x - ab
(x - a)(x + b) = x^2 - (a - b)x - ab
(x - a)(x - b) = x^2 - (a + b)x + ab
3. Product of Sum and Difference
(x + y)(x - y) = x^2 - y^2
x^2 - y^2 = (x + y)(x - y)
4. Expansions of Squares
(a + b)^2 = a^2 + b^2 + 2ab
(a - b)^2 = a^2 + b^2 - 2ab
(a + 1/a)^2 = a^2 + 1/a^2 + 2
(a - 1/a)^2 = a^2 + 1/a^2 - 2
(a + b + c)^2 = a^2 + b^2 + c^2 + 2(ab + bc + ca)
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