Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
3−12a2+24ab−12b2
Evaluate
3−12(a−b)2
Solution
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Calculate
−12(a−b)2
Simplify
−12(a2−2ab+b2)
Apply the distributive property
−12a2−(−12×2ab)−12b2
Multiply the numbers
−12a2−(−24ab)−12b2
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−12a2+24ab−12b2
3−12a2+24ab−12b2
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Factor the expression
3(1−2a+2b)(1+2a−2b)
Evaluate
3−12(a−b)2
Factor out 3 from the expression
3(1−4(a−b)2)
Factor the expression
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Calculate
1−4(a−b)2
Use a2−b2=(a−b)(a+b) to factor the expression
(1−2(a−b))(1+2(a−b))
Calculate
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Evaluate
−2(a−b)
Apply the distributive property
−2a−(−2b)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−2a+2b
(1−2a+2b)(1+2(a−b))
Calculate
(1−2a+2b)(1+2a−2b)
3(1−2(a−b))(1+2(a−b))
Solution
3(1−2a+2b)(1+2a−2b)
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