Answer:
The value of a is 150 and b is 4822.
Explanation:
First, you have to expand to remove brackets :
[tex](5372 + 100 {y}^{2} ) + 5(10 {y}^{2} - 110)[/tex]
[tex] = 5372 + 100 {y}^{2} + 50 {y}^{2} - 550[/tex]
Next, you have to simplify :
[tex]100 {y}^{2} + 50 {y}^{2} + 5372 - 550[/tex]
[tex] = 150 {y}^{2} + 4822[/tex]
Next, you have to compare it :
[tex]a {y}^{2} + b = 150 {y}^{2} + 4822[/tex]
[tex]a = 150[/tex]
[tex]b = 4822[/tex]
