Determine which polynomial is a difference of two squares.
x2 + 14, x2 -14, x2 + 49, x2 - 49
Solution:
We will use the algebraic identity a2 - b2 = (a + b)(a - b)
Thus, from the given polynomials x2 + 14, x2 -14, x2 + 49 and x2 - 49
x2 - 49 is the polynomial that can be expressed as the difference of the two squares.
The expression can be rewritten as x2 - (7)2.
Some other polynomials which can be expressed as a difference of two squares are
y2 - 81can be rewritten as y2 - (9)2.
x2 - 36 can be rewritten as x2 - (6)2
x2 - 16 can be rewritten as x2 - (4)2 and>
y2 - 64 can be rewritten as y2 - (8)2
Determine which polynomial is a difference of two squares.
Summary:
x2 - 49 is the polynomial that can be expressed as the difference of two squares.
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