Subtract

(i) Subtract 2 a – b from 3a - b

(ii) Subtract -3x + 8y from -7x - 10y

(iii) Subtract 2ab + 5bc - 3ca from 7ab - 2bc + 10ca

(iv) Subtract x⁵ – 2x² – 3x from x³ + 3x² + 1

(v) Subtract 3x²y – 2xy + 2xy² + 5x – 7y – 10 from 15 – 2x + 5y – 11 xy + 2xy² + 8x²y

Classify the following polynomials as monomials, binomials and trinomials:

3x², 3x + 2, x² – 4x + 2, x⁵ – 7, x² + 3xy + y²,

s² + 3st – 2t², xy + yz + zx, a²b + b²c, 2l + 2m

Add the following algebraic expressions:

i. 2x² + 3x + 5 and 3x² - 4x -7

ii. x² - 2 x -3 and x² + 3x + 1

iii. 2t² + t -4 and 1 – 3t – 5t²

iv. xy - yz, yz - xz and zx - xy

v. a² + b², b² + c², c² + a² and 2ab + 2bc + 2ca

Find out the degree of the polynomials and the leading coefficients of the polynomials given below:

(i)

(ii) 13x³ – x¹³ – 113

(iii) -77 + 7x² – x⁷

(iv) -181 + 0.8y – 8y² + 115y³ + y⁸

(v) x⁷ – 2x³y⁵ + 3xy⁴ – 10xy + 10

Find the product of the following pairs of monomials:

i. 3, 7x

ii. – 7x, 3y

iii. – 3a, 5ab

iv. 5a², – 4a

v.

vi. Xy², x²y

vii. x³y⁵, xy²

viii. abc, abc

ix. xyz. x²yz

x. a²b²c³, abc²