Processing math: 42%
Home / Aptitude Tests / Further Mathematics / Factorize completely...
Factorize completely: \(x^{2} + x^{2}y + 3x - 10y + 3xy - 10...

Factorize completely: x2+x2y+3x10y+3xy10.

A.

(x + 2)(x + 5)(y + 1)

B.

(x + 2)(x - 5)(y + 1)

C.

(x - 2)(x + 5)(y + 1)

D.

(x - 2)(x - 5)(y + 1)

Correct answer is C

x2+x2y+3x10y+3xy10

= x2+x2y+3x+3xy10y10=x2(1+y)+3x(1+y)10(y+1)

= (x2+3x10)(y+1)

= (x2+3x10)=x22x+5x10

= x(x2)+5(x2)=(x2)(x+5)

.