Factorize: x2-1-2a–a2.

Q2 of 111 Page 5

Factorize: x²-1-2a–a².

We have ,

Taking -1 as common from last three terms

Thus the factors of

Multiply:

(i) x²+y²+z²-xy+xz+yzbyx+y-z

(ii) x²+4y²+z²+2xy+xz-2yzbyx-2y-z

(iii) x²+4y²+2xy+-3x+6y+9byx-2y+3

(iv) 9x²+25y²+15xy+12x-20y+16by3x-5y+4

Factorize: x⁴+x²+25.

If a + b + c = 0, then write the value of a³+b³+c³.

Ifa²+b²+c²=20,anda+b+c=0,findab+bc+ca.