Question

Subtract the polynomials. (x2+3x−7)−(3x2−5x+3)

Answer 1

Answer:

-2x^2+8x-10

Step-by-step explanation:

(x^2+3x−7)−(3x^2−5x+3)

Distribute the minus sign

(x^2+3x−7)−3x^2+5x-3

Combine like terms

-2x^2+8x-10

Answer 2

Answer:

$\boxed{ \bold{ \boxed{ \sf{ - 2 {x}^{2} + 8x - 10}}}}$

Step-by-step explanation:

$\sf{( {x}^{2} + 3x - 7) - (3 {x}^{2} - 5x + 3)}$

When there is a ( - ) in front of an expression in parentheses, change the sign of each term in the expression. Also, remove the parentheses

⇒$\sf{ {x}^{2} + 3x - 7 - 3 {x}^{2} + 5x - 3}$

Collect like terms

⇒$\sf{ {x}^{2} - 3 {x}^{2} + 3x + 5x - 7 - 3}$

⇒$\sf{ - 2 {x}^{2} + 8x - 10}$

Hope I helped!

Best regards!!