Question

Factorise the following polynomials.

(a) xy(z2 + 1) + z(x2 + y2

)

(b) 2axy2 + 10x + 3ay2 + 15​

Answer 1

Answer:

hey

Step-by-step explanation:

answer...

Given : xy(z

2

+1)+z(x

2

+y

2

).

Factorizing the above :

⇒xyz

2

+xy+zx

2

+zy

2

⇒xyz

2

+zx

2

+xy+zy

2

⇒xz(yz+x)+y(yz+x)

⇒(xz+y)(yz+x)

____________

b answer

see photo of answer.. b

like

follow me

mark as branllieast

Answer 2

Answer:

(A) =xy(z^2+1)+z(X^2+y^2)

=xyz^2 + xy + x^2Z +y^2Z

=xyz^2 + x^2Z +y^2z +xy

=xz(yz +x) +y(yz+x)

=(yz +x) (zx +y)

Step-by-step explanation:

(B) =2axy^2 + 10x +3ay^2 +15 =2x(ay^2+5) +3(ay^2+5) =(ay^2+5) (2x+3)