factorisation for the 4th identity

Recognise the appropriate identity. Rewrite the given expression in the form of the identity. Write the factors of the given expression using the identity..

Recall the following identities for finding the products: Observe that the LHS in the identities are all factors and the RHS are their products. Thus, we can write the factors as follow..

Let x + y = u Substitute x + y for u, Hence, ..

There are various methods of factorising a polynomial. They are, Factorisation by dividing the expression by the HCF of the terms of the given expression. Factorisation by grouping the terms of the expression. Factorisation using identities..

Factorization - Writing a polynomial as the product of two or more polynomials is called factorisation. If A = B x C, B and C are called factors of A. Most of the polynomials can be factorised by grouping the terms suitably and taking out the common factors. Identities..

If all the terms of the polynomial have a common factor, we take out the common factor and factorise . If all the terms of the polynomial have a common factor, we take out the common factor and factorise . If the polynomial can be expressed as the difference of two squares..

121x 2 - 25y 2 = (11x) 2 - (5y) 2 = (11x + 5y) (11x - 5y) [Using the identity a 2 -b 2 =(a-b)(a+b)] Factorise: (5a + 6b) 2 - 49b 2 Let x = 5a + 6b Then the given expression = (x) 2 - (7b) 2 = (x + 7b) (x - 7b) Re-substituting the value of x, we get = [(5a + 6b + 7..