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Type (ii) By expressing the polynomial 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 = [(5..
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 = [(5..Some Basic Definitions
Polynomials - An expression of the form in which a i are numbers belonging to some number system and 'n' is a non-negative integer, is called a polynomial. a i are called the coefficients of if a o 0, the polynomial is said to be of degree ..
Polynomials - An expression of the form in which a i are numbers belonging to some number system and 'n' is a non-negative integer, is called a polynomial. a i are called the coefficients of if a o 0, the polynomial is said to be of degree ..Representation of a Relation
(i) Roster form(i) Roster form (ii) Set builder form (iii) By tables (iv) Arrow diagram (v) By graphs (i) Roster form: The ordered pairs are listed, R = {(2, 1), (4, 2), (6, 3), (8, 4), (10, 5)} Where A = {1, 2, 3, 4, 5} and R means 'is twice' in A x A xRy means x = 2y. (i) x = 2y is call..
(i) Roster form(i) Roster form (ii) Set builder form (iii) By tables (iv) Arrow diagram (v) By graphs (i) Roster form: The ordered pairs are listed, R = {(2, 1), (4, 2), (6, 3), (8, 4), (10, 5)} Where A = {1, 2, 3, 4, 5} and R means 'is twice' in A x A xRy means x = 2y. (i) x = 2y is call..Second Method:
x 2 - 2x - 48 = x 2 - 8x + 6x - 48 = x(x - 8) + 6(x - 8) = (x - 8) (x + 6) When the coefficient of the highest power is not unity. i.e., type ax 2 bx c, when and b and c are integers. Multiply (3x + 2) (x + 4) and consider the result so obtained. = 3x (x..
x 2 - 2x - 48 = x 2 - 8x + 6x - 48 = x(x - 8) + 6(x - 8) = (x - 8) (x + 6) When the coefficient of the highest power is not unity. i.e., type ax 2 bx c, when and b and c are integers. Multiply (3x + 2) (x + 4) and consider the result so obtained. = 3x (x..Formula
= d Number of sides of a polygon = n the required formula is = d = n -3 The sum of the reciprocal of x and the reciprocal of y equals the reciprocal of m. Express this as a formula. Reciprocal of Reciprocal of Reciprocal of The required formula ..
= d Number of sides of a polygon = n the required formula is = d = n -3 The sum of the reciprocal of x and the reciprocal of y equals the reciprocal of m. Express this as a formula. Reciprocal of Reciprocal of Reciprocal of The required formula ..Surd
is NOT a surd because and 3 is NOT an irrational number. Without using tables, simplify: (i) 36 - 1 / 2 (ii) (i) 36 - 1 / 2 = (6 2 ) - 1 / 2 = 6 - 1 (i..
is NOT a surd because and 3 is NOT an irrational number. Without using tables, simplify: (i) 36 - 1 / 2 (ii) (i) 36 - 1 / 2 = (6 2 ) - 1 / 2 = 6 - 1 (i..Question 6
Question: Solve the following equation: Answer: 5(2-9x) = 4(15-4x) (by cross multiplication) 10-45 x= 60-16x -45x+16x=60-10 -29x=50 ..
Question: Solve the following equation: Answer: 5(2-9x) = 4(15-4x) (by cross multiplication) 10-45 x= 60-16x -45x+16x=60-10 -29x=50 ..Algebra of Limits
If f and g are two functions defined over same domain D, then we have certain set of identities which can be used for solving limits problems with variables like algebraic expressions..
Factorization
Factorization - If a polynomial can be written as the product of two or more expressions, then each expression is called the factor of the given polynomial.If a polynomial can be written as the product of two or more expressions, then each expression is calle..
Result
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