17 Questions
What is the result of $(a + b)^2 - (a - b)^2$?
$4ab$
Given that $a + b + c = 7$ and $ab + bc + ca = 12$, what is the value of $a^2 + b^2 + c^2$?
$31$
What is the product of $(x + y)(x - y)(x^2 + xy + y^2)(x^2 - xy + y^2)$?
$x^6 - y^6$
When $a + b = 5$ and $a - b = 3$, what is the value of $a^2 + b^2$?
$25$
What is the sum of all possible values of $x$ that satisfy $x^2 - 7x + 12 = 0$?
$7$
If $ab + bc + ca = 30$ and $a + b + c = 10$, what is the value of $abc$?
$50$
In the expression 3x^2y + 6, when x = -4 and y = 9, what is the value of the expression 5(x + y)?
25
For the expression (8x^2 + 8)(2x + 2), evaluate the expression when x = 5.
120
For the expression x^3y - 2z, what is the value of the expression when x = 3, y = -1, and z = -2?
-10
In the expression 3x + 8 / 2x - 1, what is the simplified form of the expression?
1.5x + 4
Reduce the rational expression (x^3 - y^3) / (x^2 - 2xy + y^2) to lowest form.
x^2 - y^2
For the expression x - 1 / (x^2 - 1), what is the simplified form of the expression?
1 / (x + 1)
What is the value of x in the equation x^3 + 3 = 512, given x + 1 = 8?
7
What is the factorization of 125x^3 - 1331y^3?
(5x - 11y) (25x^2 + 55xy + 121y^2)
What is the product of (x - 1) and x^2 - 2x + 1, where x = 4?
468
What is the factorization of 64x^3 + 343y^3?
(4x + 7y) (16x^2 - 28xy + 49y^2)
If x = 4, what is the value of (x + 1)^3 + 2?
514
Explore solutions for various algebraic expressions and formulas with examples such as finding the value of x3 + 3 given x + 1 = 8. Learn how to factorize expressions like 64x3 + 343y3 into their simplified forms. Version: 1.1
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