Question

there are(3x + 5y)shelves in a library and in each shelve there are (5x + 3y) books. how many books are there in the library

Answer 1

no. of shelves=3x+5y
no. of book in each shelves=5x+3y
no of books=(3x+5y)*(5x+3y)=15x²+34xy+15y²

Answer 2

Answer:

Concept:

A Quadratic Equation is a second-order polynomial in a single variable.

It has two solutions.

Solutions may be both Real or both Complex.

$ax^{2}$+bx+c=0

a,b and c are constants

Step-by-step explanation:

The highest power of the variable in an equation is known as the degree of the equation

An equation in one variable having a degree equal to two is known as a quadratic equation.

Given:

Number of shelves in the library =3 x+5 y

Number of books on each shelf =5 x+3 y

Find:

Total number of books in the library

Solution:

Number of shelves in the library = 3 x+5 y

Number of books on each shelf = 5 x+3 y

Total number of books in the library = (3 x+5 y)(5 x+3 y)

                          $=(3 x+5 y)(5 x+3 y) \\\\ =3 x(5 x+3 y)+5 y(5 x+3 y) \\\\ =15 x^{2}+9 x y+15 y^{2}+25 x y \\\\ =15 x^{2}+34 x y+15 y^{2}$

#SPJ3