(i) x^2 + xy + 8x + 8y = x(x+y) + 8(x+y) = (x+y)(x+8) (ii) 15xy - 6x +5y - 2 = 5y(3x+1) -2(3x+1) = (5y-2)(3x+1) (iii) ax+bx-ay-by a(x-y) + b(x-y) (x-y)(a+b) (iv) 15pq + 15 + 9q + 25p = 5p(3q + 5) + 3(3q+5) =(5p+...
To factorize the polynomial 6x2+17x+12, we can follow these steps: Step 1: Identify the coefficientsThe given polynomial is 6x2+17x+12. Here, the coefficients are:- a=6 (coefficient of x2)- b=17 (coefficient of x)- c=12 (constant term) Step 2: Multiply a and cWe need to mul...
=x(x + y) + 8(x + y)=(x + y)(x + 8) (2)15xy - 6x +5y - 2 = 3×5×x×y-3×2×x×5xy-2= 3x (5y - 2) +1(5y - 2)= (5y - 2) (3x +1) (3)ax + bx- ay - by = a × x + b × x - a × y - b × y=x(a + b) - y(a + ...
(a+b)2=a2+2ab+b2(a−b)2=a2−2ab+b2a2−b2=(a+b)(a−b) Answer and Explanation:1 We have to Factorise:25x2−9. We will apply the algebraic identities to factorize the given expression: $$\begin{align} 25x^2 - 9... ...
Factorise 2 x^2 + 15 x - 27. Factorise: 15y^4 - 35y^3 + 10y^2. Factorise: 7x^{5} + 7xy^{4} - 14x^{3}y^{2} Factorise. x^{2}-4x-5 Factorise: (a) 4x^2-7x+3 (b) 6x^2+10x-5 Factorise: x^2 - 4x - 21. ...
Factor the given polynomial completely: 42 + a - a^2 Factor the given polynomial: 2xy + 6x - y - 3 Factor the given polynomial: 15x^2 - 18x - 24 Factor the given polynomial: 35p^2 + 13p - 4 Factor the given polynomial: x^2 + 8x + 12 ...
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Factorize x^3 - 7 x + 6. Factorize 16 x^4 y^2 - 25. Factorize: -x^5+6x^3-9x Factorize -x^2 + 4x - 3. Factorize: 12x^2(x - 1) - 4x(x - 1) - 5(x - 1) Factorize it completely: 3x^2 - 5x + 2. Factorize x^3 - 3 x^2 - 10 x + 24. ...
Factorise: (a) 4x^2-7x+3 (b) 6x^2+10x-5 Factorise : (1+ \frac{y^2+z^2-x^2}{2yz} ) / (1 - \frac{x^2+y^2-z^2}{2xy} ) Factorise: x^2 + y z + x y + x z. Factorise: 15y^4 - 35y^3 + 10y^2. Factorise: (2 x + 5) (x - y) + (4 y) (x - y)...