Question
Simplify the expression
320xy2+26600xy
Evaluate
32x×10y2+(532x×10y)2×5
Evaluate the power
32x×10y2+532x×10y×5
Multiply the terms
320xy2+532x×10y×5
Multiply the terms
320xy2+5320xy×5
Solution
320xy2+26600xy
Show Solution

Factor the expression
40yx(8y+665)
Evaluate
32x×10y2+(532x×10y)2×5
Multiply the terms
32x×10y2+(5320xy)2×5
Simplify the root
More Steps

Evaluate
5320xy
Write the expression as a product where the root of one of the factors can be evaluated
4×1330xy
Write the number in exponential form with the base of 2
22×1330xy
The root of a product is equal to the product of the roots of each factor
22×1330xy
Reduce the index of the radical and exponent with 2
21330yx
32x×10y2+(21330yx)2×5
Multiply the terms
320xy2+(21330yx)2×5
Simplify
320xy2+5(21330yx)2
Rewrite the expression
102yx×16y2yx+102yx×13302yx
Factor out 102yx from the expression
102yx×(16y2yx+13302yx)
Factor the expression
More Steps

Evaluate
16y2yx+13302yx
Rewrite the expression
22xy×8y+22xy×665
Factor out 22xy from the expression
22xy×(8y+665)
102yx×22xy×(8y+665)
Solution
40yx(8y+665)
Show Solution
