Which of the following shows factoring of polynomials with difference of two squares? * 1 point A. 4a^2 – b^2 = (2a+b)(2a-b) B. x^-2xy+y = (x-y)(x-y) C. 25m^4+15m^3 = 5m^2 (5m^2+3m) D. x^2-x-2 = (x-2)(x+1
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A) 4a^2-b^2= (2a+b) (2a-b)
We can show polynomial as the difference of two square when the expressions are a perfect square.
Note that the leading coefficient that is coefficient of maximum degree digit does not have to be equal to 1 if we want to express it as difference of two squares.
In this option, 4a^2 – b^2, (4a^2) and b^2 both are. perfect squares, therefore we can express this as the difference of two squares, that is (2a)^2 - (b) ^2= (2a+b) (2a-b)
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