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...
Step 3: Rewrite the remaining termsNow, we can express −3x−3x as:−3(x+1x)So the expression now looks like:(x+1x)2−3(x+1x) Step 4: Let y=x+1xNow, we can substitute y for x+1x:y2−3y Step 5: Factor the quadratic expressionWe can factor this expression:y(y...
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) ...
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: ...
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...
FACTORISATIONBook:ICSEChapter:FACTORISATIONExercise:Exercise 5 (C) Explore30Videos Similar Questions For each trinomial (quadratic expression), given below, find whether i... 02:47 Doubtnut is No.1 Study App and Learning App with Instant Video Solutions for NCERT Class 6, Class 7, Class 8, Cla...
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The given expression is a quadratic expression. The quadratic expression means the expression in which we have a variable having the highest power 2 and the general way to express any quadratic expression is {eq}ax^2+bx+c {/eq}. Here {eq}a {/eq} must not equal to zero.Answer and ...