Question

What is the difference of the polynomials?

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(12x^2–11y^2 - 13x)-(5x^2 – 14y^2 –9x )
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O 7x2 + 3y2 - 4x
O 7X2 - 3y2 - 4x
O 7x2 - 25y2-22x
O 17X2 - 25y2 - 22x

Answer 1

O 7x2 + 3y2 - 4x

.........

Answer 2

`\qquad \qquad\huge \underline{\boxed{\sf ᴀɴsweʀ}}`

The Correct choice is ~ A

`\qquad \sf  \dashrightarrow \: 7 {x}^(2) + 3 {y}^(2) - 4x`

`\large \boxed{ \mathrm{Step\:\: By\:\:Step\:\:Explanation}}`

`\sf  \dashrightarrow \:(12 {x}^(2) - 11y { }^(2) - 13x) - (5 {x}^(2) - 14y { }^(2) - 9x)`

`\sf  \dashrightarrow \:12 {x}^(2) - 11y { }^(2) - 13x- 5 {x}^(2) + 14y { }^(2) + 9x`

`\sf  \dashrightarrow \: 12 {x}^(2) - 5 {x}^(2) - 11y { }^(2) + 14 {y}^(2) - 13x + 9`

`\sf  \dashrightarrow \: 7 {x}^(2) + 3 {y}^(2) - 4x`