Marygraceboraleidn
Answered

IDNStudy.com, kung saan ang iyong mga tanong ay may mabilis na sagot. Ang aming mga eksperto ay nagbibigay ng mabilis at eksaktong sagot upang tulungan kang maunawaan at malutas ang anumang problema.

(x²+y²-2xy)-(x²-y²-2xy)

a. x - y - 2xy
b. y - 2xy
c. 2y^2
d. 2x^2​

Sagot :

Luzvismindamagbanua9idn

Answer:

c. 2y^2

Step-by-step explanation:

(x²+y²-2xy)-(x²-y²-2xy)

= x²+y²-2xy-x²+y²+2xy

combine like terms

= 2y²

Pathologistidn

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Question:

(x²+y²-2xy)-(x²-y²-2xy)

a. x - y - 2xy

b. y - 2xy

c. 2y^2

d. 2x^2​

Answer:

[tex](x^{2} + y ^{2} - 2xy) - (x^{2} - y ^{2} - 2xy)[/tex]

  • Remove unnecessary parentheses

[tex]x^{2} + y ^{2} - 2xy - (x^{2} - y ^{2} - 2xy)[/tex]

  • When there is a - in front of an expression in parentheses, change the sign of each term in the expression

[tex](x^{2} + y ^{2} - 2xy) - (x^{2} + y ^{2} + 2xy)[/tex]

  • Since two opposites add up to zero, remove them from the expression

[tex]y^{2} + y^{2}[/tex]

  • if a term doesn't have a coefficient, it is considered that the coefficient is 1

[tex]1y^{2} + y^{2}[/tex]

  • if a term doesn't have a coefficient, it is considered that the coefficient is 1

[tex]1y^{2} + 1y^{2}[/tex]

  • Collect like terms by adding their coefficients

[tex]\\ (1+1)y^{2}[/tex]

  • Add the numbers

[tex]2y^{2}[/tex]

The Final Answer is:

(x²+y²-2xy)-(x²-y²-2xy)

a. x - y - 2xy

b. y - 2xy

c. 2y^2

d. 2x^2​

The answer is: C. 2y^2

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