Question

Please include all steps on how to solve.....


(4x3 + 3x4 ) − (x4 – 5x3 )

Answer 1

To solve the given polynomial expression (4x^3 + 3x^4) - (x^4 − 5x^3), you distribute the negative sign, combine like terms, and simplify the expression to get 2x^4 + 9x^3.

Step-by-step explanation:

The question given involves simplifying a polynomial expression by combining like terms and making use of the distributive property. The expression provided is (4x^3 + 3x^4) - (x^4 − 5x^3). To solve this problem, follow these steps:

Distribute the negative sign to terms inside the second parenthesis: (4x^3 + 3x^4) - x^4 + 5x^3.

Combine like terms by adding or subtracting the coefficients of the same degree of x: (3x^4 - x^4) + (4x^3 + 5x^3).

Simplify the expression by calculating the coefficients: 2x^4 + 9x^3.

By following these steps, you effectively simplify the polynomial expression by combining like terms.

Answer 2

= 4x^3 + 3x^4 - x^4 + 5x^3 (the sign og 5x^3 changes because of the negative outside the parentheses)
= 2x^4 + 9x^3 answer