Solve 2a((a)^(2)+(b)^(2))-2(b)^(2)(b+a)+2 | 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

$$2a( { a }^{ 2 } + { b }^{ 2 } )-2 { b }^{ 2 } (b+a)+2$$

Evaluate

$2\left(a^{3}-b^{3}+1\right)$

Solution Steps

Use the distributive property to multiply $2a$ by $a^{2}+b^{2}$.

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

Use the distributive property to multiply $-2b^{2}$ by $b+a$.

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

Combine $2ab^{2}$ and $-2b^{2}a$ to get $0$.

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

Expand

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

Solution Steps

Use the distributive property to multiply $2a$ by $a^{2}+b^{2}$.

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

Use the distributive property to multiply $-2b^{2}$ by $b+a$.

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

Combine $2ab^{2}$ and $-2b^{2}a$ to get $0$.

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