Example

3(r+2s)=2t-4
a⋅(b-2)=3b
3(r+2s)=2t-4
a⋅(b-2)=3b

Question

$$(x^{3}+3x^{2}+x+2)-(x^{4}+5x^{3}+6x^{2}+5x+2)$$

Answer

$$-4*x^3-3*x^2-4*x-x^4$$

Solution


Remove parentheses.
\[{x}^{3}+3{x}^{2}+x+2-{x}^{4}-5{x}^{3}-6{x}^{2}-5x-2\]
Collect like terms.
\[({x}^{3}-5{x}^{3})+(3{x}^{2}-6{x}^{2})+(x-5x)+(2-2)-{x}^{4}\]
Simplify.
\[-4{x}^{3}-3{x}^{2}-4x-{x}^{4}\]
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