Answer:
[tex](a+b)(a-b)=a^{2} -b^{2}[/tex]
Step-by-step explanation:
This is a example of remarkable identities.
We know that the result of multiplication is called product and the values that multiply are called factors.
We call remarkable identities to certain algebraic expressions with binomial products very frequent in the calculation.
For this example, we got a Product of the sum for the difference of two binomials.
[tex](a+b)(a-b)[/tex]
The product of the sum for the difference of two binomials is equal to the square of the first quantity, minus the square of the second.
[tex](a+b)(a-b)=a^{2} -b^{2}[/tex]
Demostration:
[tex](a+b)(a-b)= a^{2} -ab+ab-b^{2}=a^{2} -b^{2}[/tex]
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