Which expression is a difference of squares with a factor of 2x + 5? 4x2 + 10 4x2 – 10 4x2 + 25 4x2 – 25
Answer:
The required expression is \(4x^2-25\)
Step-by-step explanation:
The difference of squares formula is given by
\((a+b)(a-b)=a^2-b^2\)
We have been given that one factor is 2x+5. Hence, a = 2x, b = 5
It means that other factor must be (a-b) = (2x-5)
Hence, in order to find the expression, we can multiply the factors.
\((2x+5)(2x-5)\)
Using the difference of squares formula
\((2x+5)(2x-5)\\\\=(2x)^2-5^2\\\\4x^2-25\)
Therefore, the required expression is \(4x^2-25\)