Simplify (2a^2-b)(-3a+2b)

(2a2-b)(-3a+2b)
Expand (2a2-b)(-3a+2b) using the FOIL Method.
Apply the distributive property.
2a2(-3a+2b)-b(-3a+2b)
Apply the distributive property.
2a2(-3a)+2a2(2b)-b(-3a+2b)
Apply the distributive property.
2a2(-3a)+2a2(2b)-b(-3a)-b(2b)
2a2(-3a)+2a2(2b)-b(-3a)-b(2b)
Simplify terms.
Simplify each term.
Rewrite using the commutative property of multiplication.
2⋅-3(a2a)+2a2(2b)-b(-3a)-b(2b)
Multiply a2 by a by adding the exponents.
Multiply a2 by a.
Raise a to the power of 1.
2⋅-3(a2a1)+2a2(2b)-b(-3a)-b(2b)
Use the power rule aman=am+n to combine exponents.
2⋅-3a2+1+2a2(2b)-b(-3a)-b(2b)
2⋅-3a2+1+2a2(2b)-b(-3a)-b(2b)
Add 2 and 1.
2⋅-3a3+2a2(2b)-b(-3a)-b(2b)
2⋅-3a3+2a2(2b)-b(-3a)-b(2b)
Multiply 2 by -3.
-6a3+2a2(2b)-b(-3a)-b(2b)
Rewrite using the commutative property of multiplication.
-6a3+2⋅2(a2b)-b(-3a)-b(2b)
Multiply 2 by 2.
-6a3+4(a2b)-b(-3a)-b(2b)
Rewrite using the commutative property of multiplication.
-6a3+4a2b-1⋅-3(ba)-b(2b)
Multiply -1 by -3.
-6a3+4a2b+3(ba)-b(2b)
Multiply b by b.
-6a3+4a2b+3ba-1⋅2b2
Multiply -1 by 2.
-6a3+4a2b+3ba-2b2
-6a3+4a2b+3ba-2b2
Simplify the expression.
Move b.
-6a3+4a2b+3ab-2b2
Move 3ab.
-6a3+4a2b-2b2+3ab
Reorder -6a3 and 4a2b.
4a2b-6a3-2b2+3ab
4a2b-6a3-2b2+3ab
4a2b-6a3-2b2+3ab
Simplify (2a^2-b)(-3a+2b)

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