Solve a ^ 2 * b + b ^ 2 * a + 3a ^ 2 * b - 3b ^ 2 * a + b * a ^ 3 + a ^ 3 * b | 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

$$a^{2}b+b^{2}a+3a^{2}b-3b^{2}a+ba^{3}+a^{3}b$$

Factor

$2ab\left(a^{2}+2a-b\right)$

Solution Steps

Factor out $ab$.

$$ab\left(a+b+3a-3b+a^{2}+a^{2}\right)$$

Consider $a+b+3a-3b+a^{2}+a^{2}$. Multiply and combine like terms.

$$2a^{2}+4a-2b$$

Consider $2a^{2}+4a-2b$. Factor out $2$.

$$2\left(a^{2}+2a-b\right)$$

Rewrite the complete factored expression.

$$2ab\left(a^{2}+2a-b\right)$$

Evaluate

$2ab\left(a^{2}+2a-b\right)$