Podcast
Questions and Answers
What is the result of $(a + b)^2 - (a - b)^2$?
What is the result of $(a + b)^2 - (a - b)^2$?
- $4ab$ (correct)
- $2(a^2 + b^2)$
- $4a^2 - 4b^2$
- $2(2a^2 - 2b^2)$
Given that $a + b + c = 7$ and $ab + bc + ca = 12$, what is the value of $a^2 + b^2 + c^2$?
Given that $a + b + c = 7$ and $ab + bc + ca = 12$, what is the value of $a^2 + b^2 + c^2$?
- $31$ (correct)
- $37$
- $25$
- $49$
What is the product of $(x + y)(x - y)(x^2 + xy + y^2)(x^2 - xy + y^2)$?
What is the product of $(x + y)(x - y)(x^2 + xy + y^2)(x^2 - xy + y^2)$?
- $x^8 - y^8$
- $x^6 - y^6$ (correct)
- $x^2 - y^2$
- $x^4 - y^4$
When $a + b = 5$ and $a - b = 3$, what is the value of $a^2 + b^2$?
When $a + b = 5$ and $a - b = 3$, what is the value of $a^2 + b^2$?
What is the sum of all possible values of $x$ that satisfy $x^2 - 7x + 12 = 0$?
What is the sum of all possible values of $x$ that satisfy $x^2 - 7x + 12 = 0$?
If $ab + bc + ca = 30$ and $a + b + c = 10$, what is the value of $abc$?
If $ab + bc + ca = 30$ and $a + b + c = 10$, what is the value of $abc$?
In the expression 3x^2y + 6, when x = -4 and y = 9, what is the value of the expression 5(x + y)?
In the expression 3x^2y + 6, when x = -4 and y = 9, what is the value of the expression 5(x + y)?
For the expression (8x^2 + 8)(2x + 2), evaluate the expression when x = 5.
For the expression (8x^2 + 8)(2x + 2), evaluate the expression when x = 5.
For the expression x^3y - 2z, what is the value of the expression when x = 3, y = -1, and z = -2?
For the expression x^3y - 2z, what is the value of the expression when x = 3, y = -1, and z = -2?
In the expression 3x + 8 / 2x - 1, what is the simplified form of the expression?
In the expression 3x + 8 / 2x - 1, what is the simplified form of the expression?
Reduce the rational expression (x^3 - y^3) / (x^2 - 2xy + y^2) to lowest form.
Reduce the rational expression (x^3 - y^3) / (x^2 - 2xy + y^2) to lowest form.
For the expression x - 1 / (x^2 - 1), what is the simplified form of the expression?
For the expression x - 1 / (x^2 - 1), what is the simplified form of the expression?
What is the value of x in the equation x^3 + 3 = 512, given x + 1 = 8?
What is the value of x in the equation x^3 + 3 = 512, given x + 1 = 8?
What is the factorization of 125x^3 - 1331y^3?
What is the factorization of 125x^3 - 1331y^3?
What is the product of (x - 1) and x^2 - 2x + 1, where x = 4?
What is the product of (x - 1) and x^2 - 2x + 1, where x = 4?
What is the factorization of 64x^3 + 343y^3?
What is the factorization of 64x^3 + 343y^3?
If x = 4, what is the value of (x + 1)^3 + 2?
If x = 4, what is the value of (x + 1)^3 + 2?
