Question
Simplify the expression
2y2−4y+2−4y7+8y6+2y5
Evaluate
2(y−1)2−(y2×2y3)(2y2−4y−1)
Remove the parentheses
2(y−1)2−y2×2y3(2y2−4y−1)
Multiply
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Multiply the terms
y2×2y3(2y2−4y−1)
Multiply the terms with the same base by adding their exponents
y2+3×2(2y2−4y−1)
Add the numbers
y5×2(2y2−4y−1)
Use the commutative property to reorder the terms
2y5(2y2−4y−1)
2(y−1)2−2y5(2y2−4y−1)
Expand the expression
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Calculate
2(y−1)2
Simplify
2(y2−2y+1)
Apply the distributive property
2y2−2×2y+2×1
Multiply the numbers
2y2−4y+2×1
Any expression multiplied by 1 remains the same
2y2−4y+2
2y2−4y+2−2y5(2y2−4y−1)
Solution
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Calculate
−2y5(2y2−4y−1)
Apply the distributive property
−2y5×2y2−(−2y5×4y)−(−2y5×1)
Multiply the terms
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Evaluate
−2y5×2y2
Multiply the numbers
−4y5×y2
Multiply the terms
−4y7
−4y7−(−2y5×4y)−(−2y5×1)
Multiply the terms
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Evaluate
−2y5×4y
Multiply the numbers
−8y5×y
Multiply the terms
−8y6
−4y7−(−8y6)−(−2y5×1)
Any expression multiplied by 1 remains the same
−4y7−(−8y6)−(−2y5)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−4y7+8y6+2y5
2y2−4y+2−4y7+8y6+2y5
Show Solution

Factor the expression
2(y2−2y+1−2y7+4y6+y5)
Evaluate
2(y−1)2−(y2×2y3)(2y2−4y−1)
Remove the parentheses
2(y−1)2−y2×2y3(2y2−4y−1)
Multiply
More Steps

Evaluate
y2×2y3
Multiply the terms with the same base by adding their exponents
y2+3×2
Add the numbers
y5×2
Use the commutative property to reorder the terms
2y5
2(y−1)2−2y5(2y2−4y−1)
Simplify
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Evaluate
2(y−1)2
Simplify
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Evaluate
(y−1)2
Use (a−b)2=a2−2ab+b2 to expand the expression
y2−2y×1+12
Calculate
y2−2y+1
2(y2−2y+1)
Apply the distributive property
2y2+2(−2y)+2×1
Multiply the terms
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Evaluate
2(−2)
Multiplying or dividing an odd number of negative terms equals a negative
−2×2
Multiply the numbers
−4
2y2−4y+2×1
Any expression multiplied by 1 remains the same
2y2−4y+2
2y2−4y+2−2y5(2y2−4y−1)
Simplify
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Evaluate
−2y5(2y2−4y−1)
Apply the distributive property
−2y5×2y2−2y5(−4y)−2y5(−1)
Multiply the terms
More Steps

Evaluate
−2y5×2y2
Multiply the numbers
−4y5×y2
Multiply the terms
−4y7
−4y7−2y5(−4y)−2y5(−1)
Multiply the terms
More Steps

Evaluate
−2y5(−4y)
Multiply the numbers
8y5×y
Multiply the terms
8y6
−4y7+8y6−2y5(−1)
Multiply the terms
−4y7+8y6+2y5
2y2−4y+2−4y7+8y6+2y5
Solution
2(y2−2y+1−2y7+4y6+y5)
Show Solution
