Question

Simplify: (10x⁴y⁴ + 20x³y⁴ + 5x³y³) ÷ 5x³y³.​

Answer 1

To simplify :  $\frac{10x^{4} y^{4}+ 20x^{3} y^{4}+ 5x^{3} y^{3} }{5x^{3} y^{3} }$

Solution :  

• To simplify the given algebraic expression we separate denominator with each term .  
• Therefore, $\frac{10x^{4} y^{4} }{5x^{3} y^{3}}+ \frac{20x^{3} y^{4} }{5x^{3} y^{3} }+ \frac{5x^{3} y^{3} }{5x^{3} y^{3} }$
• Now , we divide numerator and denominator of each term.

                          $= 2xy + 4y + 1$

Hence , on simplifying  $\frac{10x^{4} y^{4}+ 20x^{3} y^{4}+ 5x^{3} y^{3} }{5x^{3} y^{3} }$ we get  $2xy + 4y + 1$.