Students can go through AP Board 8th Class Maths Notes Chapter 12 Factorisation to understand and remember the concepts easily.

## AP State Board Syllabus 8th Class Maths Notes Chapter 12 Factorisation

→ Factorisation is a process of writing the given expression as a product of its factors.

→ A factor which cannot be further expressed as product of factors is an irreducible factor.

→ Expressions which can be transformed into the form:

a^{2} + 2ab + b^{2};

a^{2} – 2ab + b^{2};

a^{2} – b^{2} and x^{2} + (a + b)x + ab can be factorised by using identities.

→ If the given expression is of the form x^{2} + (a + b) x + ab, then its factorisation is (x + a)(x + b).

→ Division is the inverse of multiplication. This concept is also applicable to the division of algebraic expressions.

Gold Bach Conjecture:

→ Gold Bach found from observation that every odd number seems to be either a prime or the sum of a prime and twice a square.

Thus 21 = 19 + 2 or 13 + 8 or 3 + 18.

→ It is stated that up to 9000, the only exceptions to his statement are

5777 = 53 × 109 and 5993 = 13 × 641,

which are neither prime nor the sum of a primes and twice a square.