Question -
Answer -
(i) xy (z2 +a2)- x2za – y2za
हल :
= xy (z2 + a2) – x2za –y2za
= xyz2 + xya2 –x2za – y2za
= xyz2 – x2za +xya2 – y2za
= xy(yz – xa) + ya(xa – yz)
(yz – xa) (xy – ya)
(ii). p3 +p + q – 1 – p2 – pq
हल :
p3 + p + q – 1 – p2 –pq
= p3 – pq + p – p2 +q – 1
= p(p2 – q + 1) – 1(p2 –q + 1)
= (p2 – q + 1) (p – 1)
(iii). 2ab2 –aby + 2cby – cy2
हल :
2ab2 – aby + 2cby – cy2
= 2ab2 – aby + 2cby – cy2
= ab(2b – y) + cy (2b – y)
= (2b – y) (ab + cy)
(vi) x2 +y3 +xy (y + 1)
हल :
x2 + y3 +xy(y + 1)
= x2+ y3 + xy + xy
= x2 + xy + xy2 +y3
= x(x +y) + y2(x +y)
= (x + y) (x + y2)