(6x4 +4x3 - 2x2 +5) - (3x4 - 2x3 +x+4)
(6x^4+4x^3-2x^2+5)-(3x^4-2x^3+x+4)=
6x^4+4x^3-2x^2+5-3x^4+2x^3-x-4=(6x^4-3x^4)+(4x^3+2x^3)-2x^2-x-4+5=3x^4+6x^3-2x^2-x-1
To simplify the given expression, we need to combine like terms and perform any necessary operations.
Step 1: Distribute the negative sign to the terms inside the second parentheses.
(6x^4 + 4x^3 - 2x^2 + 5) - (3x^4 - 2x^3 + x + 4)
= 6x^4 + 4x^3 - 2x^2 + 5 - (3x^4 - 2x^3 + x + 4)
= 6x^4 + 4x^3 - 2x^2 + 5 - 3x^4 + 2x^3 - x - 4
Step 2: Combine like terms.
= (6x^4 - 3x^4) + (4x^3 + 2x^3) + (-2x^2) + (-x) + (5 - 4)
= 3x^4 + 6x^3 - 2x^2 - x + 1
The simplified expression is 3x^4 + 6x^3 - 2x^2 - x + 1.
To simplify the given expression (6x^4 + 4x^3 - 2x^2 + 5) - (3x^4 - 2x^3 + x + 4), we need to perform the subtraction operation between the two parentheses.
Step 1: Distribute the negative sign inside the second parentheses by changing the sign of each term inside it.
The expression becomes: 6x^4 + 4x^3 - 2x^2 + 5 - 3x^4 + 2x^3 - x - 4.
Step 2: Combine like terms by grouping the terms with the same variable and exponent together.
Group the x^4 terms: 6x^4 - 3x^4 = 3x^4.
Group the x^3 terms: 4x^3 + 2x^3 = 6x^3.
Group the x^2 term: -2x^2.
Group the x term: -x.
Group the constant terms: 5 - 4 = 1.
The simplified expression becomes: 3x^4 + 6x^3 - 2x^2 - x + 1.
So, (6x^4 + 4x^3 - 2x^2 + 5) - (3x^4 - 2x^3 + x + 4) simplifies to 3x^4 + 6x^3 - 2x^2 - x + 1.