Ch 14 teaches factorisation — writing an expression as a product of its factors. This is the reverse of expansion and uses common factor extraction, regrouping, and algebraic identities.
Identify the HCF of all terms and factor it out: 6a² + 12a = 6a(a + 2). For expressions with 4+ terms, regroup into pairs that share common factors.
Use identity patterns in reverse: a² + 2ab + b² = (a+b)². a² − 2ab + b² = (a−b)². a² − b² = (a+b)(a−b). x² + (p+q)x + pq = (x+p)(x+q). Recognising the pattern is key.
Divide monomial by monomial: divide coefficients and subtract exponents. Divide polynomial by monomial: divide each term. Divide polynomial by polynomial: factorise both and cancel common factors.
Download: https://ncert.nic.in/textbook/pdf/hemh114.pdf | Complete book: https://ncert.nic.in/textbook/pdf/hemh1ps.zip
Factorisation is the process of expressing an algebraic expression as a product of two or more simpler expressions (factors). It is the reverse of expansion/multiplication.
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