You factorise the quadratic expression x²+ (a+b) x +ab by rewriting it as the product of two binomials (x+a) X (x+b). By letting (a+b)=c and (ab)=d, you can recognize the familiar form of the quadratic equation x²+ cx+d. Factoring is the process of reverse multiplicat...
To factorise the expression (a+b)2−11(a+b)−42, we can follow these steps: Step 1: Substitute a+b with xLet x=a+b. Then the expression becomes:x2−11x−42 Step 2: Factor the quadratic expressionWe need to factor the quadratic expression x2−11x−42. We are looking for...
To factorize the quadratic expression of the form ax2+bx+c, splitting the middle term is one of the methods that can be applied. According to the splitting the middle method, we have to find two numbers d and e such that these two numbers satisfy these two conditions b=d+e and ac=de...
Factorise an expression by taking out the common number factors 6a 6a + 12 = 6(a + 2) 5b – 15 = 5(b – 3) 4a + 2b = 2(2a + b) 3x – 2y = 3x – 2y no common factors here 4c – 10t = 2(2c – 5t) 12f + 15 = 3(4f + 5) 9y – 21n = 3(3y – 7n) ...
NCERT solutions for CBSE and other state boards is a key requirement for students. Doubtnut helps with homework, doubts and solutions to all the questions. It has helped students get under AIR 100 in NEET & IIT JEE. Get PDF and video solutions of IIT-JEE Mains & Advanced previous year pap...
Understand the meaning of the roots of an equation and how to find the roots of a quadratic equation. Also, see the formula used in finding the roots of a quadratic equation. Related to this Question Factorise: x^2 + y z + x y + x z. ...
For this, we express the complete polynomial as a product of two factors - the given factor and a second degree polynomial, and then we easily factorize this last polynomial by using the formula for a quadratic equation. Answer and Explanation: ...
NCERT solutions for CBSE and other state boards is a key requirement for students. Doubtnut helps with homework, doubts and solutions to all the questions. It has helped students get under AIR 100 in NEET & IIT JEE. Get PDF and video solutions of IIT-JEE Mains & Advanced previous year pap...
Factorise:25x2−9. Question: Factorise:25x2−9. Algebraic Identities: The quadratic expression that is given to factorize is set up in the form of the difference of two perfect squares. So, here we will apply the algebraic identities to factorize the given expression. The basic algebraic...
NCERT solutions for CBSE and other state boards is a key requirement for students. Doubtnut helps with homework, doubts and solutions to all the questions. It has helped students get under AIR 100 in NEET & IIT JEE. Get PDF and video solutions of IIT-JEE Mains & Advanced previous year pap...