Answer:−40x5+25x3−10x2+20x
Step-by-step explanation:Terms with Exponents:
The expression contains terms with various exponents. Each term consists of a coefficient multiplied by a variable raised to a power.
For example:
The term “-5x^4” has a coefficient of -5 and the variable x raised to the power of 4.
The term “5x^3” has a coefficient of 5 and the variable x raised to the power of 3.
The term “-35x^5” has a coefficient of -35 and the variable x raised to the power of 5.
Constant Terms:
The expression also includes constant terms (terms without variables).
For example:
The constant term “20x” has a coefficient of 20 and no variable.
Combining Like Terms:
To simplify the expression, we can combine like terms.
Add or subtract coefficients of terms with the same variable and exponent.
For instance:
Combine the “-5x^4” and “-35x^5” terms: -5x^4 - 35x^5 = -40x^5.
Combine the “5x^3” and “20x” terms: 5x^3 + 20x = 25x^3 + 20x.
Putting it all together, the simplified expression is:
−40x5+25x3−10x2+20x
