Question
Simplify the expression
45x10−225x9−2x4+70x3+50x2−1750x
Evaluate
x(x−5)x5(3x2×15x)−(2x2−50)(x2−35x)
Remove the parentheses
x(x−5)x5×3x2×15x−(2x2−50)(x2−35x)
Multiply
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Multiply the terms
x(x−5)x5×3x2×15x
Multiply the terms with the same base by adding their exponents
x1+5+2+1(x−5)×3×15
Add the numbers
x9(x−5)×3×15
Multiply the terms
x9(x−5)×45
Use the commutative property to reorder the terms
45x9(x−5)
45x9(x−5)−(2x2−50)(x2−35x)
Rewrite the expression
45x9(x−5)+(−2x2+50)(x2−35x)
Expand the expression
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Calculate
45x9(x−5)
Apply the distributive property
45x9×x−45x9×5
Multiply the terms
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Evaluate
x9×x
Use the product rule an×am=an+m to simplify the expression
x9+1
Add the numbers
x10
45x10−45x9×5
Multiply the numbers
45x10−225x9
45x10−225x9+(−2x2+50)(x2−35x)
Solution
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Calculate
(−2x2+50)(x2−35x)
Apply the distributive property
−2x2×x2−(−2x2×35x)+50x2−50×35x
Multiply the terms
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Evaluate
x2×x2
Use the product rule an×am=an+m to simplify the expression
x2+2
Add the numbers
x4
−2x4−(−2x2×35x)+50x2−50×35x
Multiply the terms
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Evaluate
−2x2×35x
Multiply the numbers
−70x2×x
Multiply the terms
−70x3
−2x4−(−70x3)+50x2−50×35x
Multiply the numbers
−2x4−(−70x3)+50x2−1750x
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−2x4+70x3+50x2−1750x
45x10−225x9−2x4+70x3+50x2−1750x
Show Solution

Factor the expression
x(x−5)(45x8−2x2+60x+350)
Evaluate
x(x−5)x5(3x2×15x)−(2x2−50)(x2−35x)
Remove the parentheses
x(x−5)x5×3x2×15x−(2x2−50)(x2−35x)
Multiply
More Steps

Multiply the terms
3x2×15x
Multiply the terms
45x2×x
Multiply the terms with the same base by adding their exponents
45x2+1
Add the numbers
45x3
x(x−5)x5×45x3−(2x2−50)(x2−35x)
Multiply
More Steps

Multiply the terms
x(x−5)x5×45x3
Multiply the terms with the same base by adding their exponents
x1+5+3(x−5)×45
Add the numbers
x9(x−5)×45
Use the commutative property to reorder the terms
45x9(x−5)
45x9(x−5)−(2x2−50)(x2−35x)
Rewrite the expression
45x9(x−5)+(−2x2+50)(x2−35x)
Rewrite the expression
x(x−5)×45x8+x(x−5)(−2x−10)(x−35)
Factor out x(x−5) from the expression
x(x−5)(45x8+(−2x−10)(x−35))
Solution
x(x−5)(45x8−2x2+60x+350)
Show Solution
