Question

Answer 1

a.M= 3y + 1/2y²

b.N = 3/2 xy² - 6xy

c. = 7x⁶ -4x⁴ + 2x⁵ + 2x³ - x

Answer 2

a) \(M=y^2-2y+\dfrac{1}{2}y^2+5y-y^2\)

\(M=\left(1+\dfrac{1}{2}-1\right)y^2+\left(-2+5\right)y\)

\(M=\dfrac{1}{2}y^2+3y\)

b) \(N=\dfrac{1}{3}x^2y+xy^2-xy+\dfrac{1}{2}xy^2-5xy-\dfrac{1}{3}x^2y\)

\(N=\left(\dfrac{1}{3}x^2y-\dfrac{1}{3}x^2y\right)+\left(xy^2+\dfrac{1}{2}xy^2\right)+\left(-xy-5xy\right)\)

\(N=\dfrac{3}{2}xy^2-6xy\)

c) \(P=7x^6-3x^4+2x^5+2x^3-x^4-x^5\)

\(P=7x^6+\left(-3x^4-x^4\right)+\left(2x^5-x^5\right)+2x^3\)

\(P=7x^6-4x^4+x^5+2x^3=7x^6+x^5-4x^4+2x^3\)

Answer 3

\(a)M=y^2-2y+\dfrac{1}{2}y^2+5y-y^2\)

   \(M=\left(y^2+\dfrac{1}{2}y^2-y^2\right)+\left(-2y+5y\right)\)

   \(M=\dfrac{1}{2}y^2+3y\)

\(b)N=\dfrac{1}{3}x^2y+xy^2-xy+\dfrac{1}{2}xy^2-5xy-\dfrac{1}{3}x^2y\)

   \(N=\left(\dfrac{1}{3}x^2y-\dfrac{1}{3}x^2y\right)+\left(xy^2+\dfrac{1}{2}xy^2\right)+\left(-xy-5xy\right)\)

   \(N=\dfrac{3}{2}xy^2-6xy\)

\(c)7x^6-3x^4+2x^5+2x^3-x^4-x^5\)

\(=7x^6+\left(-3x^4-x^4\right)+\left(2x^5-x^5\right)+2x^3\)

\(=7x^6-4x^4+x^5+2x^3\)