Multiply (2b+c)(b-2c)

Math
(2b+c)(b-2c)
Expand (2b+c)(b-2c) using the FOIL Method.
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Apply the distributive property.
2b(b-2c)+c(b-2c)
Apply the distributive property.
2b⋅b+2b(-2c)+c(b-2c)
Apply the distributive property.
2b⋅b+2b(-2c)+cb+c(-2c)
2b⋅b+2b(-2c)+cb+c(-2c)
Simplify and combine like terms.
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Simplify each term.
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Multiply b by b by adding the exponents.
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Move b.
2(b⋅b)+2b(-2c)+cb+c(-2c)
Multiply b by b.
2b2+2b(-2c)+cb+c(-2c)
2b2+2b(-2c)+cb+c(-2c)
Rewrite using the commutative property of multiplication.
2b2+2⋅-2(bc)+cb+c(-2c)
Multiply 2 by -2.
2b2-4(bc)+cb+c(-2c)
Rewrite using the commutative property of multiplication.
2b2-4bc+cb-2c⋅c
Multiply c by c by adding the exponents.
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Move c.
2b2-4bc+cb-2(c⋅c)
Multiply c by c.
2b2-4bc+cb-2c2
2b2-4bc+cb-2c2
2b2-4bc+cb-2c2
Add -4bc and cb.
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Reorder c and b.
2b2-4bc+bc-2c2
Add -4bc and bc.
2b2-3bc-2c2
2b2-3bc-2c2
2b2-3bc-2c2
Multiply (2b+c)(b-2c)

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