Question

Please solve these sums and follow me​

Answer 1

(i)

$\frac{6x^{2}+13x+5}{2x+1}$

$\frac{(3x+5)(2x+1)}{2x+1}$

$3x+5$

∴ $\frac{6x^{2}+13x+5}{2x+1}=3x+5$

(ii)

$\frac{1+y^{3}}{1+y}$

$\frac{y^{3}+1}{y+1}$

$\frac{(y+1)(y^{2}-y+1)}{y+1}$

$y^{2}-y+1$

∴ $\frac{1+y^{3}}{1+y}=y^{2}-y+1$

(iii)

$\frac{5+x-2xy^{2}}{x+1}$

$\frac{-2xy^{2}+x+5}{x+1}$

∴ $\frac{5+x-2xy^{2}}{x+1}=\frac{-2xy^{2}+x+5}{x+1}$

(iv)

$\frac{x^{3}-6x^2+12x-8}{x-2}$

$\frac{(x-2)(x-2)(x-2)}{x-2}$

$x^{2}-4x+4$

∴ $\frac{x^{3}-6x^2+12x-8}{x-2}=x^{2}-4x+4$