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desmos
Unit A1.8, Lesson 4: Form Up
Name 
qquad Anina.
Activity 1: Spotting Similarities
Here are three groups of expressions.




Group 1
Group 2
Group 3



4x^(2)-25

8x^(2)+32 x+24

x^(2)-6x-27



x^(2)-36

4x^(2)-8x-32

x^(2)+2x-80



x^(2)-100

10x^(2)+20 x+10

x^(2)-13 x+30



25x^(2)-49

2x^(2)-22 x+60

x^(2)+2x-63





Explain how the expressions in each group are alike.
Group 1:
Group 2:

Group 3:

desmos\newlineUnit A11.88, Lesson 44: Form Up\newlineName \qquad Anina.\newlineActivity 11: Spotting Similarities\newlineHere are three groups of expressions.\newline\begin{tabular}{|c|c|c|}\newline\hline Group 11 & Group 22 & Group 33 \\\newline\hline 4x225 4 x^{2}-25 & 8x2+32x+24 8 x^{2}+32 x+24 & x26x27 x^{2}-6 x-27 \\\newlinex236 x^{2}-36 & 4x28x32 4 x^{2}-8 x-32 & x2+2x80 x^{2}+2 x-80 \\\newlinex2100 x^{2}-100 & 10x2+20x+10 10 x^{2}+20 x+10 & x213x+30 x^{2}-13 x+30 \\\newline4x225 4 x^{2}-25 00 & 4x225 4 x^{2}-25 11 & 4x225 4 x^{2}-25 22 \\\newline\hline\newline\end{tabular}\newline11. Explain how the expressions in each group are alike.\newlineGroup 11:\newlineGroup 22:\newlineGroup 33:

Full solution

Q. desmos\newlineUnit A11.88, Lesson 44: Form Up\newlineName \qquad Anina.\newlineActivity 11: Spotting Similarities\newlineHere are three groups of expressions.\newline\begin{tabular}{|c|c|c|}\newline\hline Group 11 & Group 22 & Group 33 \\\newline\hline 4x225 4 x^{2}-25 & 8x2+32x+24 8 x^{2}+32 x+24 & x26x27 x^{2}-6 x-27 \\\newlinex236 x^{2}-36 & 4x28x32 4 x^{2}-8 x-32 & x2+2x80 x^{2}+2 x-80 \\\newlinex2100 x^{2}-100 & 10x2+20x+10 10 x^{2}+20 x+10 & x213x+30 x^{2}-13 x+30 \\\newline4x225 4 x^{2}-25 00 & 4x225 4 x^{2}-25 11 & 4x225 4 x^{2}-25 22 \\\newline\hline\newline\end{tabular}\newline11. Explain how the expressions in each group are alike.\newlineGroup 11:\newlineGroup 22:\newlineGroup 33:
  1. Differences of Squares: Group 11: All the expressions are differences of squares.
  2. Quadratic Trinomial Factoring: Group 22: Each expression is a quadratic trinomial that can be factored.
  3. Factoring Quadratic Trinomials: Group 33: All the expressions are quadratic trinomials that can be factored.