Solve 18c^4 - 9c1*16c^2

Question

Simplify the expression

18 c^{4} - 144 c^{3}

Evaluate

18 c^{4} - 9 c \times 1 \times 16 c^{2}

Solution

More Steps

Evaluate

9 c \times 1 \times 16 c^{2}

Rewrite the expression

9 c \times 16 c^{2}

Multiply the terms

144 c \times c^{2}

Multiply the terms with the same base by adding their exponents

144 c^{1 + 2}

Add the numbers

144 c^{3}

18 c^{4} - 144 c^{3}

Show Solution

18 c^{3} (c - 8)

Evaluate

18 c^{4} - 9 c \times 1 \times 16 c^{2}

Multiply the terms

More Steps

Evaluate

9 c \times 1 \times 16 c^{2}

Rewrite the expression

9 c \times 16 c^{2}

Multiply the terms

144 c \times c^{2}

Multiply the terms with the same base by adding their exponents

144 c^{1 + 2}

Add the numbers

144 c^{3}

18 c^{4} - 144 c^{3}

Rewrite the expression

18 c^{3} \times c - 18 c^{3} \times 8

Solution

18 c^{3} (c - 8)

Show Solution

c_{1} = 0, c_{2} = 8

Evaluate

18 c^{4} - 9 c \times 1 \times 16 c^{2}

To find the roots of the expression,set the expression equal to 0

18 c^{4} - 9 c \times 1 \times 16 c^{2} = 0

Multiply the terms

More Steps

Multiply the terms

9 c \times 1 \times 16 c^{2}

Rewrite the expression

9 c \times 16 c^{2}

Multiply the terms

144 c \times c^{2}

Multiply the terms with the same base by adding their exponents

144 c^{1 + 2}

Add the numbers

144 c^{3}

18 c^{4} - 144 c^{3} = 0

Factor the expression

18 c^{3} (c - 8) = 0

Divide both sides

c^{3} (c - 8) = 0

Separate the equation into 2 possible cases

c^{3} = 0 c - 8 = 0

The only way a power can be 0 is when the base equals 0

c = 0 c - 8 = 0

Solve the equation

More Steps

Evaluate

c - 8 = 0

Move the constant to the right-hand side and change its sign

c = 0 + 8

Removing 0 doesn't change the value,so remove it from the expression

c = 8

c = 0 c = 8

Solution

c_{1} = 0, c_{2} = 8

Show Solution