Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
24dt4−18dt2−6dt
Evaluate
3(8t3−6t−2)dt×1
Rewrite the expression
3(8t3−6t−2)dt
Multiply the terms
3dt(8t3−6t−2)
Apply the distributive property
3dt×8t3−3dt×6t−3dt×2
Multiply the terms
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Evaluate
3dt×8t3
Multiply the numbers
24dt×t3
Multiply the terms
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Evaluate
t×t3
Use the product rule an×am=an+m to simplify the expression
t1+3
Add the numbers
t4
24dt4
24dt4−3dt×6t−3dt×2
Multiply the terms
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Evaluate
3dt×6t
Multiply the numbers
18dt×t
Multiply the terms
18dt2
24dt4−18dt2−3dt×2
Solution
24dt4−18dt2−6dt
Show Solution
Factor the expression
6dt(t−1)(2t+1)2
Evaluate
3(8t3−6t−2)dt×1
Rewrite the expression
3(8t3−6t−2)dt
Multiply the terms
3dt(8t3−6t−2)
Factor the expression
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Evaluate
8t3−6t−2
Rewrite the expression
2×4t3−2×3t−2
Factor out 2 from the expression
2(4t3−3t−1)
Factor the expression
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Evaluate
4t3−3t−1
Calculate
4t3+4t2+t−4t2−4t−1
Rewrite the expression
t×4t2+t×4t+t−4t2−4t−1
Factor out t from the expression
t(4t2+4t+1)−4t2−4t−1
Factor out −1 from the expression
t(4t2+4t+1)−(4t2+4t+1)
Factor out 4t2+4t+1 from the expression
(t−1)(4t2+4t+1)
2(t−1)(4t2+4t+1)
Use a2+2ab+b2=(a+b)2 to factor the expression
2(t−1)(2t+1)2
3dt×2(t−1)(2t+1)2
Solution
6dt(t−1)(2t+1)2
Show Solution