Question

if 4x-5y = 12and xy = -1find 16x^2+25y^2

Answer 1

Answer:

104

Step-by-step explanation:

You can refer the above figure.

Answer 2

Given:-

☆Value of 4x-5y=12

☆Value of xy= -1

To find:-

☆Value of 16x²+25y²

Solution:-

By squaring both sides in the equation 4x-5y=12,we get:-

=>(4x-5y)²=(12)²

We know that (a-b)²=a²+b²-2ab

=>(4x)²+(5y)²-2×4x×5y=144

=>16x²+25y²-40xy=144

=>16x²+25y²-40(-1)=144

=>16x²+25y²+40=144

=>16x²+25y²=144-40

=>16x²+25y²=104

Thus,value of 16x²+25y² is 104.