Question
Simplify the expression
1440x4y2−10y2
Evaluate
12x2×8xy×15xy−10y2
Solution
More Steps

Evaluate
12x2×8xy×15xy
Multiply the terms
More Steps

Evaluate
12×8×15
Multiply the terms
96×15
Multiply the numbers
1440
1440x2×xyxy
Multiply the terms with the same base by adding their exponents
1440x2+1+1y×y
Add the numbers
1440x4y×y
Multiply the terms
1440x4y2
1440x4y2−10y2
Show Solution

Factor the expression
10y2(12x2−1)(12x2+1)
Evaluate
12x2×8xy×15xy−10y2
Evaluate
More Steps

Evaluate
12x2×8xy×15xy
Multiply the terms
More Steps

Evaluate
12×8×15
Multiply the terms
96×15
Multiply the numbers
1440
1440x2×xyxy
Multiply the terms with the same base by adding their exponents
1440x2+1+1y×y
Add the numbers
1440x4y×y
Multiply the terms
1440x4y2
1440x4y2−10y2
Factor out 10y2 from the expression
10y2(144x4−1)
Solution
More Steps

Evaluate
144x4−1
Rewrite the expression in exponential form
(12x2)2−12
Use a2−b2=(a−b)(a+b) to factor the expression
(12x2−1)(12x2+1)
10y2(12x2−1)(12x2+1)
Show Solution
