Tamil Nadu Board Solutions for Chapter: Algebra, Exercise 7: Exercise

If $(x+a)(x+b)(x+c)=x^3+14x^2+59x+70$ find the value of $\frac{1}{a}+\frac{1}{b}+\frac{1}{c}$

If $(x+a)(x+b)(x+c)=x^3+14x^2+59x+70$, find the value of $a^2+b^2+c^2$.

If $(x+a)(x+b)(x+c)=x^3+14x^2+59x+70$, find the value of $\frac{a}{bc}+\frac{b}{ac}+\frac{c}{ab}$

By using identity evaluate

$7^3-{10}^3+3^3$

By using identity evaluate : $1+\frac{1}{8}-\frac{27}{8}$

If $2 x-3 y-4 z=0$, then find $8x^3-27y^3-64z^3$

If $p\left(x\right)=4x^2-3x+2x^3+5$ and $q\left(x\right)=x^2+2x+4$, then find $p\left(x\right)+q\left(x\right)$

Factorise $x^3-5x^2-2x+24$