# Simplify (c^2+c-1)(c^2+6c-8)

(c2+c-1)(c2+6c-8)
Expand (c2+c-1)(c2+6c-8) by multiplying each term in the first expression by each term in the second expression.
c2c2+c2(6c)+c2⋅-8+c⋅c2+c(6c)+c⋅-8-1c2-1(6c)-1⋅-8
Simplify terms.
Simplify each term.
Multiply c2 by c2 by adding the exponents.
Use the power rule aman=am+n to combine exponents.
c2+2+c2(6c)+c2⋅-8+c⋅c2+c(6c)+c⋅-8-1c2-1(6c)-1⋅-8
Add 2 and 2.
c4+c2(6c)+c2⋅-8+c⋅c2+c(6c)+c⋅-8-1c2-1(6c)-1⋅-8
c4+c2(6c)+c2⋅-8+c⋅c2+c(6c)+c⋅-8-1c2-1(6c)-1⋅-8
Rewrite using the commutative property of multiplication.
c4+6c2c+c2⋅-8+c⋅c2+c(6c)+c⋅-8-1c2-1(6c)-1⋅-8
Multiply c2 by c by adding the exponents.
Move c.
c4+6(c⋅c2)+c2⋅-8+c⋅c2+c(6c)+c⋅-8-1c2-1(6c)-1⋅-8
Multiply c by c2.
Raise c to the power of 1.
c4+6(c1c2)+c2⋅-8+c⋅c2+c(6c)+c⋅-8-1c2-1(6c)-1⋅-8
Use the power rule aman=am+n to combine exponents.
c4+6c1+2+c2⋅-8+c⋅c2+c(6c)+c⋅-8-1c2-1(6c)-1⋅-8
c4+6c1+2+c2⋅-8+c⋅c2+c(6c)+c⋅-8-1c2-1(6c)-1⋅-8
Add 1 and 2.
c4+6c3+c2⋅-8+c⋅c2+c(6c)+c⋅-8-1c2-1(6c)-1⋅-8
c4+6c3+c2⋅-8+c⋅c2+c(6c)+c⋅-8-1c2-1(6c)-1⋅-8
Move -8 to the left of c2.
c4+6c3-8⋅c2+c⋅c2+c(6c)+c⋅-8-1c2-1(6c)-1⋅-8
Multiply c by c2 by adding the exponents.
Multiply c by c2.
Raise c to the power of 1.
c4+6c3-8c2+c1c2+c(6c)+c⋅-8-1c2-1(6c)-1⋅-8
Use the power rule aman=am+n to combine exponents.
c4+6c3-8c2+c1+2+c(6c)+c⋅-8-1c2-1(6c)-1⋅-8
c4+6c3-8c2+c1+2+c(6c)+c⋅-8-1c2-1(6c)-1⋅-8
Add 1 and 2.
c4+6c3-8c2+c3+c(6c)+c⋅-8-1c2-1(6c)-1⋅-8
c4+6c3-8c2+c3+c(6c)+c⋅-8-1c2-1(6c)-1⋅-8
Rewrite using the commutative property of multiplication.
c4+6c3-8c2+c3+6c⋅c+c⋅-8-1c2-1(6c)-1⋅-8
Multiply c by c by adding the exponents.
Move c.
c4+6c3-8c2+c3+6(c⋅c)+c⋅-8-1c2-1(6c)-1⋅-8
Multiply c by c.
c4+6c3-8c2+c3+6c2+c⋅-8-1c2-1(6c)-1⋅-8
c4+6c3-8c2+c3+6c2+c⋅-8-1c2-1(6c)-1⋅-8
Move -8 to the left of c.
c4+6c3-8c2+c3+6c2-8⋅c-1c2-1(6c)-1⋅-8
Rewrite -1c2 as -c2.
c4+6c3-8c2+c3+6c2-8c-c2-1(6c)-1⋅-8
Multiply 6 by -1.
c4+6c3-8c2+c3+6c2-8c-c2-6c-1⋅-8
Multiply -1 by -8.
c4+6c3-8c2+c3+6c2-8c-c2-6c+8
c4+6c3-8c2+c3+6c2-8c-c2-6c+8
Simplify by adding terms.
Add 6c3 and c3.
c4+7c3-8c2+6c2-8c-c2-6c+8
Add -8c2 and 6c2.
c4+7c3-2c2-8c-c2-6c+8
Subtract c2 from -2c2.
c4+7c3-3c2-8c-6c+8
Subtract 6c from -8c.
c4+7c3-3c2-14c+8
c4+7c3-3c2-14c+8
c4+7c3-3c2-14c+8
Simplify (c^2+c-1)(c^2+6c-8)

Scroll to top