Exploring Algebraic Identities
CBSE · Class 9 · Mathematics
All formulas from Exploring Algebraic Identities in CBSE Class 9 Mathematics. Key equations, constants, and identities for board exam preparation.
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Formulas
2. Main identities
(a + b)^2 = a^2 + 2ab + b^2
(a - b)^2 = a^2 - 2ab + b^2
(a + b + c)^2 = a^2 + b^2 + c^2 + 2ab + 2bc + 2ca
a^2 - b^2 = (a + b)(a - b)
a^2 = (a + b)(a - b) + b^2
3. Factorisation using identities
x^2 + 7x + 12 = (x + 3)(x + 4)
x^2 + 11x + 30 = (x + 5)(x + 6)
x^2 - 5x + 6 = (x - 2)(x - 3)
x^2 + 8x + 15 = (x + 3)(x + 5)
50p^2 + 60pq + 18q^2 = 2(5p + 3q)^2
4. Rational expressions
(x^2 - 7x + 12)/(5x^2 + 5x - 100) = (x - 3)/(5(x + 5))
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Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
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