Question

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

Answer 1

`\boxed{ \bold{ \boxed{ \sf{ - 2 {x}^(2) + 8x - 10}}}}`

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!!

Answer 2

-2x^2+8x-10

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