subtracting polynomials\nfind: $(4x^{2}y^{3}+2xy^{2}-2y)-(-7x^{2}y^{3}+6xy^{2}-2y)$\nplace the correct…

subtracting polynomials\nfind: $(4x^{2}y^{3}+2xy^{2}-2y)-(-7x^{2}y^{3}+6xy^{2}-2y)$\nplace the correct coefficients in the difference.\n$\\square x^{2}y^{3}+\\square xy^{2}+\\square y$

subtracting polynomials\nfind: $(4x^{2}y^{3}+2xy^{2}-2y)-(-7x^{2}y^{3}+6xy^{2}-2y)$\nplace the correct coefficients in the difference.\n$\\square x^{2}y^{3}+\\square xy^{2}+\\square y$

Answer

Answer:

$11x^{2}y^{3}-4xy^{2}+0y$

Explanation:

Step1: Distribute the negative sign

$(4x^{2}y^{3}+2xy^{2}-2y)+(7x^{2}y^{3}-6xy^{2}+2y)$

Step2: Combine like - terms for $x^{2}y^{3}$

$(4 + 7)x^{2}y^{3}=11x^{2}y^{3}$

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

$(2-6)xy^{2}=-4xy^{2}$

Step4: Combine like - terms for $y$

$(-2 + 2)y=0y$