what is the difference of the polynomials?\n$(12x^{2}-11y^{2}-13x)-(5x^{2}-14y^{2}-9x)$\n$7x^{2}+3y^{2}-4x$\n…

what is the difference of the polynomials?\n$(12x^{2}-11y^{2}-13x)-(5x^{2}-14y^{2}-9x)$\n$7x^{2}+3y^{2}-4x$\n$7x^{2}-3y^{2}-4x$\n$7x^{2}-25y^{2}-22x$\n$17x^{2}-25y^{2}-22x$

what is the difference of the polynomials?\n$(12x^{2}-11y^{2}-13x)-(5x^{2}-14y^{2}-9x)$\n$7x^{2}+3y^{2}-4x$\n$7x^{2}-3y^{2}-4x$\n$7x^{2}-25y^{2}-22x$\n$17x^{2}-25y^{2}-22x$

Answer

Explanation:

Step1: Remove parentheses

$(12x^{2}-11y^{2}-13x)-(5x^{2}-14y^{2}-9x)=12x^{2}-11y^{2}-13x - 5x^{2}+14y^{2}+9x$

Step2: Combine like - terms for $x^{2}$ terms

$12x^{2}-5x^{2}=(12 - 5)x^{2}=7x^{2}$

Step3: Combine like - terms for $y^{2}$ terms

$-11y^{2}+14y^{2}=(-11 + 14)y^{2}=3y^{2}$

Step4: Combine like - terms for $x$ terms

$-13x+9x=(-13 + 9)x=-4x$

Step5: Write the final polynomial

The result is $7x^{2}+3y^{2}-4x$

Answer:

A. $7x^{2}+3y^{2}-4x$