2.1 Algebraic Expressions
Write in standard form.
-3x^3+4x^5-5+8x^3
4x^5+5x^3-5
Simplify
(5x^2+13)+(3x^2-8x-10)
8x^2-8x+3
What is the conjugate of
sqrt3+1
sqrt3-1
Factor
x^4+15x^3+26x^2
x^2(x+13)(x+2)
Simplify
5y^5(4y^2-3y+7)
20y^7-15y^6+35y^5
Simplify
(8x+3x^5)-(3x^5-2x-6x^2+11)
6x^2+10x-11
How do you rationalize the denominator of
sqrt6/(sqrt5+1)
multiply by the conjugate
sqrt5-1
Factor
25x^2-20x+4
(5x-2)^2
Simplify
4k^4(5k-2)+3k^5-7k^4
23k^5-15k^4
Simplify.
(x^2+3x^3-5x+11)-(4x-6x^2+5x^3-3)
-2x^3+7x^2-9x+14
Rationalize the denominator of
4/(sqrt2-3
(4sqrt2+12)/-7
Factor
11x+4-3x^2
-(3x+1)(x-4)
Evaluate
(x-y)^2+3xy, when, x=1 and y=-2
3
Expand and simplify.
(5v+2)^2
25v^2+20v+4
Rationalize the denominator of
sqrt7/(sqrt3+1)
(sqrt21-sqrt7)/2
Factor
a^4-81b^4
(a^2+9b^2)(a+3b)(a-3b)
Evaluate the following expression for the given values of the variables.
4x^2+3y^3(x+y), when, x=4 and y=-2
16
Write the product in standard form.
(3v-7)(7v+3)
21v^2-40v-21
Rationalize the denominator of
(sqrt7+sqrt5)/(sqrt7-sqrt5
6+sqrt35
Factor
xy-5x+yz-5z
(y-5)(x+z)