Simplify (-2a+1)(5a-1)

Math
(-2a+1)(5a-1)
Expand (-2a+1)(5a-1) using the FOIL Method.
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Apply the distributive property.
-2a(5a-1)+1(5a-1)
Apply the distributive property.
-2a(5a)-2a⋅-1+1(5a-1)
Apply the distributive property.
-2a(5a)-2a⋅-1+1(5a)+1⋅-1
-2a(5a)-2a⋅-1+1(5a)+1⋅-1
Simplify and combine like terms.
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Simplify each term.
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Multiply a by a.
-2⋅5a2-2a⋅-1+1(5a)+1⋅-1
Multiply -2 by 5.
-10a2-2a⋅-1+1(5a)+1⋅-1
Multiply -1 by -2.
-10a2+2a+1(5a)+1⋅-1
Multiply 5a by 1.
-10a2+2a+5a+1⋅-1
Multiply -1 by 1.
-10a2+2a+5a-1
-10a2+2a+5a-1
Add 2a and 5a.
-10a2+7a-1
-10a2+7a-1
Simplify (-2a+1)(5a-1)

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