1. if 49x2 - b = (7x+12)(7x−12)\left(7x+\frac{1}{2}\right)\left(7x-\frac{1}{2}\right)(7x+21​)(7x−21​) then the value of b is

2. if xy+yx=−1 (x,y≠0),the value of x3−y3 \frac{x}{y}+\frac{y}{x}=-1\ \left(x,y\ne0\right),the\ value\ of\ x^3-y^3\ yx​+xy​=−1 (x,y​=0),the value of x3−y3

3. if a,b, c are all non zero and a+b+c= 0, then find a2bc+b2ca+c2ab\frac{a^2}{bc}+\frac{b^2}{ca}+\frac{c^2}{ab}bca2​+cab2​+abc2​

4. When p(x) = x3+ax2+2x+ax^3+ax^2+2x+ax3+ax2+2x+a is divided by (x+a),the remainder is

5. If x=12−3x=\frac{1}{2-\sqrt{3}}x=2−3​1​ ,then find the value of x2−4x+1x^2-4x+1x2−4x+1

6. The number of zeros of the polynomialx3 + x - 3 - 3x2

7. If a + b = -1, then find the value of a3+b3−3aba^3+b^3-3aba3+b3−3ab is

8. Factorize: y2−5y+6y^2-5y+6y2−5y+6

9. Factorize: ab + bc + ax + cx

10. If x x+1x=a+bx+\frac{1}{x}=a+bx+x1​=a+b & x−1x=a−bx-\frac{1}{x}=a-bx−x1​=a−b then -------