Question

hey guys i have a test tmrw i hope you can help me please solve the below question pleaseeeee



if (x^2+3x+5)(x^2-3x+5)= m^2 -n^2 then m can be?​

Answer 1

The LHS is in the form (a+b)(a-b)

We know, (a+b)(a-b)=a²-b²

So, LHS

• (x²)²-(3x+5)²

x^4 - [(3x)² + 5² +2(3x)(5)]

x^4 - [9x² + 25 + 30x]

x^4 - 9x² - 25 - 30x

Now, LHS = RHS

m² - n² = x^4 - 9x² - 25 - 30x

m² = x^4 - 9x² - 25 - 30x + n²

m = √ x^4 - 9x² - 25 - 30x + n²

Hope it helps!!! :)