Solve (24a * b ^ 2 * c + 8a * b ^ 2 * c + 16b ^ 2 * ac) / 8 * a * b ^ 2 * c = | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$(24ab^{2}c+8ab^{2}c+16\ b^{2}ac)\div8ab^{2}c=....$$

Evaluate

$6b^{4}\left(ac\right)^{2}$

Solution Steps

Combine $24ab^{2}c$ and $8ab^{2}c$ to get $32ab^{2}c$.

$$\frac{32ab^{2}c+16b^{2}ac}{8}ab^{2}c$$

Combine $32ab^{2}c$ and $16b^{2}ac$ to get $48ab^{2}c$.

$$\frac{48ab^{2}c}{8}ab^{2}c$$

Divide $48ab^{2}c$ by $8$ to get $6ab^{2}c$.

$$6ab^{2}cab^{2}c$$

Multiply $a$ and $a$ to get $a^{2}$.

$$6a^{2}b^{2}cb^{2}c$$

To multiply powers of the same base, add their exponents. Add $2$ and $2$ to get $4$.

$$6a^{2}b^{4}cc$$

Multiply $c$ and $c$ to get $c^{2}$.

$$6a^{2}b^{4}c^{2}$$

Expand

$6b^{4}\left(ac\right)^{2}$

Solution Steps

Combine $24ab^{2}c$ and $8ab^{2}c$ to get $32ab^{2}c$.

$$\frac{32ab^{2}c+16b^{2}ac}{8}ab^{2}c$$

Combine $32ab^{2}c$ and $16b^{2}ac$ to get $48ab^{2}c$.

$$\frac{48ab^{2}c}{8}ab^{2}c$$

Divide $48ab^{2}c$ by $8$ to get $6ab^{2}c$.

$$6ab^{2}cab^{2}c$$

Multiply $a$ and $a$ to get $a^{2}$.

$$6a^{2}b^{2}cb^{2}c$$

To multiply powers of the same base, add their exponents. Add $2$ and $2$ to get $4$.

$$6a^{2}b^{4}cc$$

Multiply $c$ and $c$ to get $c^{2}$.

$$6a^{2}b^{4}c^{2}$$