Learn Math Questions

from a handpicked tutor in LIVE 1-to-1 classes

from a handpicked tutor in LIVE 1-to-1 classes

# Determine which polynomial is a difference of two squares.

x^{2} + 14, x^{2} -14, x^{2} + 49, x^{2} - 49

**Solution:**

We will use the algebraic identity a^{2} - b^{2} = (a + b)(a - b)

Thus, from the given polynomials x^{2} + 14, x^{2} -14, x^{2} + 49 and x^{2} - 49

x^{2} - 49 is the polynomial that can be expressed as the difference of the two squares.

The expression can be rewritten as x^{2} - (7)^{2}.

Some other polynomials which can be expressed as a difference of two squares are

y^{2} - 81can be rewritten as y^{2} - (9)^{2}.

x^{2} - 36 can be rewritten as x^{2} - (6)^{2}

x^{2} - 16 can be rewritten as x2 - (4)^{2} and>

y^{2} - 64 can be rewritten as y^{2} - (8)^{2}

## Determine which polynomial is a difference of two squares.

**Summary:**

x^{2} - 49 is the polynomial that can be expressed as the difference of two squares.

Math worksheets and

visual curriculum

visual curriculum