Question -
Answer -
(i) x3 +2x2 = 5x + 10
हल :
x3 + 2x2 +5x + 10
= x2(x + 2) + 5(x + 2)
= (x + 2) (x2 + 5)
(ii) 3ax – 6xy + 8by – 4ab
हल :
3ax – 6xy + 8by – 4ab
= 3ax – 6xy -4ab + 8by
= 3x (a – 2y) – 4b (a – 2y)
= (a – 2y) (3x – 4b)
(iii) ax + cx’ + ay-bx + cy
हल :
ax2 + cx2 +ay2 – by2 –bx2 +cy2
= ax2 – bx2 +cx2 + ay2 –by2 + cy2
= x2 (a – b + c) + y2 (a– b + c)
= (a – b + c) (x2 + y2)
(iv) ab2 –(a-c) b-c
हल :
ab2 – (a – c) b – c
= ab2 – ab + bc – c
= ab (b – 1) + c(b – 1)
= (b – 1) (ab + 1)
(v) p2q – pr2 –pq + r2
हल :
p2q – pq2 –pq + r2
=pq (p – 1) – r2(p – 1)
= (p – 1) (pq – r2)