Question

Add the following Expressions : (i) 3x² - 2x+5, - 5x² -2 + 3x and -7x + 4x² + 5​

Answer 1

Answer:

The resulting expression after addition is  $2x^2-6x+8$.

Step-by-step explanation:

Given the expressions,

$3x^2-2x+5\\\\-5x^2-2+3x\\\\-7x+4x^2+5$

When we add these expressions, we should add the coefficients of the like terms.

Thus we have,

$3x^2-2x+5+(-5x^2-2+3x)+(-7x+4x^2+5)$

In expanding the brackets, we get

$3x^2-2x+5-5x^2-2+3x-7x+4x^2+5$

Now, we can group the like terms.

$(3x^2-5x^2+4x^2)+(-2x+3x-7x)+(5-2+5)$

Add the coefficients of like terms to obtain,

$(3-5+4)x^2+(-2+3-7)x+(5+5-2)\implies 2x^2-6x+8$

So the result after addition is $2x^2-6x+8$.