Question

plz give all the formulas of polynomials chapter class9

Answer 1

• Polynomials can be factorised using algebraic identities.

• A polynomial of degree two is called a quadratic polynomial. The identities used to factorise the quadratic polynomials are:

• (a + b)2 = a2 + 2ab + b2 (a – b)2 = a2 – 2ab + b2

• a2 – b2 = (a + b)(a – b)

• (x + a)(x + b) = x2 + (a + b)x + ab

• (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca

A polynomial of degree three is called a cubic polynomial. The algebraic identities used in factorising a cubic polynomial are:

• (a + b)3 = a3 + b3 + 3ab (a + b)

• (a – b)3 = a3 – b3 – 3ab (a – b)

• a3 + b3 = (a + b)(a2 – ab + b2)

• a3 – b3 = (a – b)(a2 + ab + b2)

• a3 + b3 + c3 – 3abc = (a + b + c)(a2 + b2 + c2 – ab – bc – ca)

Answer 2

1; (x plus y) square = x square plus 2xy plus y square

2: (x-y)square = x minus 2xy plus y square
3:(a-b)(a plus b)=a square -b square

4:(xplus a)(x plus b)= xsquare ( a plus b)x plus ab


5:(x plus y)cube = xcube plus ycube plus 3xy(x plus y)


6:(a plus b plus c) square = a square pluz b square plus c square plus 2ab plus 2bc plus 2ac


7: (x-y) cube = xcube - ycube - 3xy (x-y)

8: x square plus y square plus z square - 3xy

=(x plus y plus z)(xsquare plus y square plus z square - 2xy-2yz-2zx)




i hope the answer is correct.... Sorry bcz i dont know how to compute plus and minus in the keyboard i am using so..... I am apologized for that......


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