Determine whether each identity is true or false (a-b) (a-b) = a²-b² true or false (a+b) (a+b) =a²+2ab +b² true or false(a-b) (a-b) = a²-2ab+b² true or false(a+b) (a-b) = a²+2ab…

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asked Sep 22, 2023 78.6k views

2 Answers

Dayanruben · Answer 1 · 2023-09-29T11:10:02+0000

1)

we can use the distribution propertie:

$\begin{gathered} (a-b)(a-b)=a^2-ab-ab+b^2 \\ (a-b)(a-b)=a^2-2ab+b^2 \end{gathered}$

Is false

2)

Again, we can use the distribution propertie:

$\begin{gathered} (a+b)(a+b)=a^2+ab+ab+b^2 \\ (a+b)(a+b)=a^2+2ab+b^2 \end{gathered}$

Is true

3) is the same as the numeral 1) so in this case the experession is true

4)

Again, we can use the distribution propertie:

$\begin{gathered} (a+b)(a-b)=a^2-ab+ab-b^2 \\ (a+b)(a-b)=a^2-b^2 \end{gathered}$

Is false

5) is the same as the numeral 4) so in this case is true

6)

Using the distribution:

$\begin{gathered} (a+b)(a+b)=a^2+ab+ab+b^2 \\ (a+b)(a+b)=a^2+2ab+b^2 \end{gathered}$

So is false