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Match each quadratic expression given in factored form with an equivalent expression in standard form. One expression in standard form has no match.
\((y+x)(y-x)\)
\((11+x)(11-x)\)
\((x-11)(x+11)\)
\((x-y)(x-y)\)
\(121-x^2\)
\(x^2 +2xy -y^2\)
\(y^2 -x^2\)
\(x^2 -2xy +y^2\)
\(x^2 -121\)
Both \((x-3)(x+3)\) and \((3-x)(3+x)\) contain a sum and a difference and have only 3 and \(x\) in each factor.
If each expression is rewritten in standard form, will the two expressions be the same? Explain or show your reasoning.
Write each expression in factored form. If not possible, write “not possible.”
What are the solutions to the equation \((x-a)(x+b)=0\)?
\(a\) and \(b\)
\(\text-a\) and \(\text-b\)
\(a\) and \(\text-b\)
\(\text-a\) and \(b\)
Create a diagram to show that \((x-3)(x-7)\) is equivalent to \(x^2-10x+21\).
Select all the expressions that are equivalent to \(8 - x\).
\(x - 8\)
\(8 + (\text-x)\)
\(\text-x - (\text -8)\)
\(\text-8 + x\)
\(x - (\text-8)\)
\(x +(\text -8)\)
\(\text-x + 8\)
