Factorise :
x(x−a)−y(y−a)x(x - a) - y(y - a)x(x−a)−y(y−a)
2 Likes
x(x−a)−y(y−a)=x2−ax−y2+ay=(x2−y2)−(ax−ay)=(x−y)(x+y)−a(x−y)=(x−y)((x+y)−a)=(x−y)(x+y−a)x(x - a) - y(y - a)\\[1em] = x^2 - ax - y^2 + ay\\[1em] = (x^2 - y^2) - (ax - ay)\\[1em] = (x - y)(x + y) - a(x - y)\\[1em] = (x - y)\Big((x + y) - a\Big)\\[1em] = (x - y)(x + y - a)x(x−a)−y(y−a)=x2−ax−y2+ay=(x2−y2)−(ax−ay)=(x−y)(x+y)−a(x−y)=(x−y)((x+y)−a)=(x−y)(x+y−a)
Hence, x(x−a)−y(y−a)=(x−y)(x+y−a)x(x - a) - y(y - a) = (x - y)(x + y - a)x(x−a)−y(y−a)=(x−y)(x+y−a).
Answered By
1 Like
x2+1x2+2−5x−5xx^2 + \dfrac{1}{x^2} + 2 - 5x - \dfrac{5}{x}x2+x21+2−5x−x5
1−(2x−3y)21 - (2x - 3y)^21−(2x−3y)2
x2−2y+xy−4x^2 - 2y + xy - 4x2−2y+xy−4
32a4−8a232a^4 - 8a^232a4−8a2
