Question

if the quantity 4 times x squared times y squared plus 8 times x cubed times y to the fifth power all over 2 times x times y squar is completely simplified to 2xayb + 4xcyd, where a, b, c, and d represent integer exponents, what is the value of c? (2 points)

Answer 1

Hii, Search in Google and told from your subject teacher

Answer 2

Answer:

The value of c = 2

Step-by-step explanation:

The quantity can be written as :

$\frac{4\cdot x^2\cdot y^2+8\cdot x^3\cdot y^5}{2\cdot x\cdot y^2}\\\\\text{On simplifying this equation we get, }\\\\\frac{4\cdot x^2\cdot y^2}{2\cdot x\cdot y^2}+\frac{8\cdot x^3\cdot y^5}{2\cdot x\cdot y^2}\\\\=2\cdot x+4\cdot x^2\cdot y^3..............(1)$

And its simplified form is given to be :

$2\cdot x^a\cdot y^b+4\cdot x^c\cdot y^d...........(2),\text{ where a , b , c , d are integer exponents. }$

On comparing equations (1) and (2) as both are the simplified forms of the same equation,

⇒ a = 1 , b = 0 , c = 2 , d = 3

So, the required value of c = 2