Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x6−14x5+49x4−2x2+10x
Evaluate
(x2)2(x−7)2−2x(x−5)
Multiply the exponents
x2×2(x−7)2−2x(x−5)
Multiply the numbers
x4(x−7)2−2x(x−5)
Expand the expression
More Steps
Calculate
x4(x−7)2
Simplify
x4(x2−14x+49)
Apply the distributive property
x4×x2−x4×14x+x4×49
Multiply the terms
More Steps
Evaluate
x4×x2
Use the product rule an×am=an+m to simplify the expression
x4+2
Add the numbers
x6
x6−x4×14x+x4×49
Multiply the terms
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Evaluate
x4×14x
Use the commutative property to reorder the terms
14x4×x
Multiply the terms
14x5
x6−14x5+x4×49
Use the commutative property to reorder the terms
x6−14x5+49x4
x6−14x5+49x4−2x(x−5)
Solution
More Steps
Calculate
−2x(x−5)
Apply the distributive property
−2x×x−(−2x×5)
Multiply the terms
−2x2−(−2x×5)
Multiply the numbers
−2x2−(−10x)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−2x2+10x
x6−14x5+49x4−2x2+10x
Show Solution
Factor the expression
(x5−14x4+49x3−2x+10)x
Evaluate
(x2)2(x−7)2−2x(x−5)
Evaluate the power
More Steps
Evaluate
(x2)2
Transform the expression
x2×2
Multiply the numbers
x4
x4(x−7)2−2x(x−5)
Rewrite the expression
x3(x−7)2x−2(x−5)x
Factor out x from the expression
(x3(x−7)2−2(x−5))x
Solution
(x5−14x4+49x3−2x+10)x
Show Solution