To factorise the expression x2+8x+16, we can follow these steps: Step 1: Identify the quadratic expressionWe have the quadratic expression in the form ax2+bx+c, where:- a=1- b=8- c=16 Step 2: Find two numbers that multiply to c and add to bWe need to find two numbers that ...
To factorise the quadratic expression x2−20x+100, we can follow these steps: 1. Identify the coefficients: The expression is in the standard form ax2+bx+c where: - a=1 (coefficient of x2) - b=−20 (coefficient of x) - c=100 (constant term) 2. Find two numbers that multipl...
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...
these methods, we can factorise the polynomials by the use of general algebraic identities . similarly, if the polynomial is of a quadratic expression, we can use the quadratic equation to find the roots/factor of a given expression. the formula to find the factors of the quadratic expression...
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: ...
To factorise the expression 4a2−12ab+9b2+4a−6b completely, we can follow these steps: Step 1: Rearrange the expressionFirst, we can rearrange the expression to group similar terms:4a2−12ab+9b2+4a−6b=(4a2−12ab+9b2)+(4a−6b) Step 2: Factor the quadratic partNow, we will...
Factorise :m2−4m−21. View Solution Factorise the following expression :25m2−40mn+16n2. View Solution Doubtnut is No.1 Study App and Learning App with Instant Video Solutions for NCERT Class 6, Class 7, Class 8, Class 9, Class 10, Class 11 and Class 12, IIT JEE prep, NEET pr...
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Step 2: Group the First Three TermsNow, we will focus on the first three terms 9x2−6xy2+y4. We can see that these can be treated as a quadratic in terms of y2:9x2−6xy2+(y2)2 Step 3: Factor the QuadraticNext, we need to factor the quadratic expression 9x2−6xy2+y4....
This expression can be treated as a quadratic in a:16a2−24ab+9b2We can factor this quadratic expression. Step 5: Factor the quadraticTo factor 16a2−24ab+9b2, we look for two numbers that multiply to 16×9=144 and add to −24. These numbers are −12 and −12:16a2−12...