find: $(4x^{2}y^{3}+2xy^{2}-2y)-(-7x^{2}y^{3}+6xy^{2}-2y)$ place the correct coefficients in the difference…

find: $(4x^{2}y^{3}+2xy^{2}-2y)-(-7x^{2}y^{3}+6xy^{2}-2y)$ place the correct coefficients in the difference. $\\square x^{2}y^{3}+\\square xy^{2}+\\square y$

find: $(4x^{2}y^{3}+2xy^{2}-2y)-(-7x^{2}y^{3}+6xy^{2}-2y)$ place the correct coefficients in the difference. $\\square x^{2}y^{3}+\\square xy^{2}+\\square y$

Answer

Explanation:

Step1: Distribute the negative sign

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

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

$(4x^{2}y^{3}+7x^{2}y^{3})+(2xy^{2}-6xy^{2})+(-2y + 2y)=(4 + 7)x^{2}y^{3}+(2-6)xy^{2}+(-2 + 2)y$ $=11x^{2}y^{3}-4xy^{2}+0y$

Answer:

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