Find the value of x3+y3-12xy+64,whenx+y=-4.

Q15 of 111 Page 5

Find the value of x³+y³-12xy+64,whenx+y=-4.

Given,

= x + y = -4 Given

= x+y+4 = 0

This can be written in form ,

And ,

= 0 ×

= 0

Factorize each of the following expressions:

8x³-125y³+180xy+216

Factorize each of the following expressions:

2a³+16b³+c³-12abc

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.