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Simplifying Polynomials
Factoring
Roots and Radicals
Rational Exponents
Complex Numbers
100
Simplify (2mn
2
)(5m
2
n)
10m
3
n
3
100
Factor Completely 10a
3
b-12a
2
b
2
2a
2
b(5a-6b)
100
Simplify +/- the square root of 121
+/- 11
100
Evaluate 100
-1/2
1/10
100
Simplify the square root of -169
13i
200
Simplify 8/(m
0
+n
0
)
4
200
Factor Completely 3n
2
-21n-24
3(n+8)(n-1)
200
Simplify the square root of 36g
6
6 times the absolute value of g
3
200
Simplify (2m)
1/2
m
1/2
m square roots of 2
200
Simplify (2i)
2
-4
300
Simplify (1+4m)
2
1+8m+16m
2
300
Factor Completely m
2
n
2
+mn+1
Prime
300
Simplify the third root of 8b
3
c
3
2bc
300
Simplify 1/(w
4/5
)
(w
1/5
)/w
300
Simplify (3-4i)
2
-7-24i
400
Simplify (x
2
+xy+y
2
)(x-y)
x
3
-y
3
400
Factor Completely y
4
-16
(y
2
+4)(y+2)(y-2)
400
Simplify the square root of 98 minus the square root of 72 plus the square root of 32
5 square roots of 2
400
Simplify (m
-2/3
)
-1/6
m
1/9
400
Simplify 3(-5-2i)+2(-3+2i)
-21-2i
500
Simplify (6x
3
-19x
2
+x+6)/(x-3)
6x
2
-x-2
500
Factor Completely 3x
3
+2x
2
-5x+9x
2
y+6xy-15y
(x+3y)(3x+5)(x-1)
500
Simplify the square root of a
4
/b
3
(a
2
square roots of b)/(b
2
)
500
Simplify the fourth root of 49
The square root of 7
500
Simplify (7-i)(4+2i)(5+2i)
-220-40i