Explanation:
-2*x^5+3*x^4-5*x^3
Use Product Rule: {x}^{a}{x}^{b}={x}^{a+b}x
a
x
b
=x
a+b
.
3{x}^{1+4}+3x{x}^{3}-5{x}^{2}{x}^{3}-5{x}^{2}x3x
1+4
+3xx
3
−5x
2
x
3
−5x
2
x
Simplify 1+41+4 to 55.
3{x}^{5}+3x{x}^{3}-5{x}^{2}{x}^{3}-5{x}^{2}x3x
5
+3xx
3
−5x
2
x
3
−5x
2
x
Use Product Rule: {x}^{a}{x}^{b}={x}^{a+b}x
a
x
b
=x
a+b
.
3{x}^{5}+3{x}^{1+3}-5{x}^{2}{x}^{3}-5{x}^{2}x3x
5
+3x
1+3
−5x
2
x
3
−5x
2
x
Simplify 1+31+3 to 44.
3{x}^{5}+3{x}^{4}-5{x}^{2}{x}^{3}-5{x}^{2}x3x
5
+3x
4
−5x
2
x
3
−5x
2
x
Use Product Rule: {x}^{a}{x}^{b}={x}^{a+b}x
a
x
b
=x
a+b
.
3{x}^{5}+3{x}^{4}-5{x}^{2+3}-5{x}^{2}x3x
5
+3x
4
−5x
2+3
−5x
2
x
Simplify 2+32+3 to 55.
3{x}^{5}+3{x}^{4}-5{x}^{5}-5{x}^{2}x3x
5
+3x
4
−5x
5
−5x
2
x
Use Product Rule: {x}^{a}{x}^{b}={x}^{a+b}x
a
x
b
=x
a+b
.
3{x}^{5}+3{x}^{4}-5{x}^{5}-5{x}^{2+1}3x
5
+3x
4
−5x
5
−5x
2+1
Simplify 2+12+1 to 33.
3{x}^{5}+3{x}^{4}-5{x}^{5}-5{x}^{3}3x
5
+3x
4
−5x
5
−5x
3
Collect like terms.
(3{x}^{5}-5{x}^{5})+3{x}^{4}-5{x}^{3}(3x
5
−5x
5
)+3x
4
−5x
3
Simplify.
-2{x}^{5}+3{x}^{4}-5{x}^{3}−2x
5
+3x
4
−5x
3