(X^2+4x)+(2x^-6x)

7 answers

To simplify the expression (x^2 + 4x) + (2x^ - 6x), we can group like terms first:

(x^2 + 4x) + (2x^ - 6x) = x^2 + (4x + 2x) + (-6x)

Next, we combine the like terms:

x^2 + (4x + 2x) + (-6x) = x^2 + 6x + (-6x)

Since 6x and -6x cancel each other out, the expression simplifies further to:

x^2 + 0 = x^2

So, (x^2 + 4x) + (2x^ - 6x) simplifies to x^2.
Add (x^2+4x)+(2x^2-6×)
To add the expressions (x^2 + 4x) and (2x^2 - 6x), we need to combine like terms:

(x^2 + 4x) + (2x^2 - 6x) = x^2 + 2x^2 + 4x - 6x

Next, we combine the like terms:

x^2 + 2x^2 + 4x - 6x = (1 + 2)x^2 + (4 - 6)x

Simplifying further, we have:

(1 + 2)x^2 + (4 - 6)x = 3x^2 - 2x

So, (x^2 + 4x) + (2x^2 - 6x) simplifies to 3x^2 - 2x.
Subtract (2x^2+3x)-(x^2+x)
To subtract (2x^2 + 3x) - (x^2 + x), we distribute the negative sign to each term inside the parentheses:

2x^2 + 3x - x^2 - x

Next, we combine like terms:

(2x^2 - x^2) + (3x - x)

Simplifying further:

x^2 + 2x

So, (2x^2 + 3x) - (x^2 + x) simplifies to x^2 + 2x.
Simplify -5x(x -4)
To simplify -5x(x - 4), we need to apply the distributive property:

-5x(x - 4) = -5x * x + (-5x) * (-4)

Multiplying the terms:

= -5x^2 + 20x

So, -5x(x - 4) simplifies to -5x^2 + 20x.