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Questions and Answers
What is the result of $a^2 - b^2$ when $a = 5$ and $b = 3$?
What is the result of $a^2 - b^2$ when $a = 5$ and $b = 3$?
- 2
- 9
- 8 (correct)
- 6
Which expression represents the sum of two cubes, $x^3 + y^3$?
Which expression represents the sum of two cubes, $x^3 + y^3$?
- $(x - y)(x^2 + xy + y^2)$
- $(x + y)(x^2 + xy + y^2)$ (correct)
- $(x - y)(x^2 - xy + y^2)$
- $(x + y)(x^2 - xy + y^2)$
If $x=2$ and $y=1$, what is the value of $x^3 - y^3$?
If $x=2$ and $y=1$, what is the value of $x^3 - y^3$?
- 9
- 8
- 7 (correct)
- 6
Which of the following is the difference of squares for $9 - 4$?
Which of the following is the difference of squares for $9 - 4$?
What is the formula for factoring $a^2 + b^2$?
What is the formula for factoring $a^2 + b^2$?
Flashcards
Difference of squares
Difference of squares
The result of subtracting one square from another, expressed as $a^2 - b^2 = (a - b)(a + b)$.
Sum of cubes
Sum of cubes
The expression representing the sum of two cubes is $x^3 + y^3 = (x + y)(x^2 - xy + y^2)$.
Factoring $x^3 - y^3$
Factoring $x^3 - y^3$
The value of $x^3 - y^3$ can be calculated with $x=2$, $y=1$, yielding $7$.
Factoring $a^2 + b^2$
Factoring $a^2 + b^2$
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Value of $a^2 - b^2$ with $a=5,b=3$
Value of $a^2 - b^2$ with $a=5,b=3$
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