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Sagot :
1)
[tex](a-b)(a-b)=a^2-b^2[/tex]we can use the distribution propertie:
[tex]\begin{gathered} (a-b)(a-b)=a^2-ab-ab+b^2 \\ (a-b)(a-b)=a^2-2ab+b^2 \end{gathered}[/tex]Is false
2)
[tex](a+b)(a+b)=a^2+2ab+b^2[/tex]Again, we can use the distribution propertie:
[tex]\begin{gathered} (a+b)(a+b)=a^2+ab+ab+b^2 \\ (a+b)(a+b)=a^2+2ab+b^2 \end{gathered}[/tex]Is true
3) is the same as the numeral 1) so in this case the experession is true
4)
[tex](a+b)(a-b)=a^2+2ab-b^2[/tex]Again, we can use the distribution propertie:
[tex]\begin{gathered} (a+b)(a-b)=a^2-ab+ab-b^2 \\ (a+b)(a-b)=a^2-b^2 \end{gathered}[/tex]Is false
5) is the same as the numeral 4) so in this case is true
6)
[tex](a+b)(a+b)=a^2+b^2[/tex]Using the distribution:
[tex]\begin{gathered} (a+b)(a+b)=a^2+ab+ab+b^2 \\ (a+b)(a+b)=a^2+2ab+b^2 \end{gathered}[/tex]So is false
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