Solve 3x ^ 2 * (4x + 2) + 5x ^ 2 * (2x - 5) | 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

$$3x^{2}(4x+2)+5x^{2}(2x-5)$$

Evaluate

$\left(22x-19\right)x^{2}$

Solution Steps

Use the distributive property to multiply $3x^{2}$ by $4x+2$.

$$12x^{3}+6x^{2}+5x^{2}\left(2x-5\right)$$

Use the distributive property to multiply $5x^{2}$ by $2x-5$.

$$12x^{3}+6x^{2}+10x^{3}-25x^{2}$$

Combine $12x^{3}$ and $10x^{3}$ to get $22x^{3}$.

$$22x^{3}+6x^{2}-25x^{2}$$

Combine $6x^{2}$ and $-25x^{2}$ to get $-19x^{2}$.

$$22x^{3}-19x^{2}$$

Expand

$22x^{3}-19x^{2}$

Solution Steps

Use the distributive property to multiply $3x^{2}$ by $4x+2$.

$$12x^{3}+6x^{2}+5x^{2}\left(2x-5\right)$$

Use the distributive property to multiply $5x^{2}$ by $2x-5$.

$$12x^{3}+6x^{2}+10x^{3}-25x^{2}$$

Combine $12x^{3}$ and $10x^{3}$ to get $22x^{3}$.

$$22x^{3}+6x^{2}-25x^{2}$$

Combine $6x^{2}$ and $-25x^{2}$ to get $-19x^{2}$.

$$22x^{3}-19x^{2}$$