(a-b)(x-y)-(b-a)(x+y)

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(a-b)(x-y)-(b-a)(x+y)

(a-b)(x-y)-(b-a)(x+y)
(a-b)(x-y)-(b-a)(x+y)

(a-b)(x-y)-(b-a)(x+y)
(a-b)(x-y)-(b-a)(x+y)
=(a-b)[(x-y)+(x+y)]
=(a-b)*2x

=(a-b)(x-y)+(a-b)(x+y)
=(a-b)(x-y+x+y)
=2x(a-b)

(a-b)(x-y)-(b-a)(x+y)
=(a-b)(x-y)+(a-b)(x+y)
=(a-b)(x-y+x+y)
=2x(a-b)

ax-ay-bx+by-(bx+by-ax-ay)
=2ax-2bx

(a-b)(x-y)-(b-a)(x+y)
=ax-ay-bx+by-(bx-ax+by-ay)
=ax-ay-bx+by-bx+ax-by+ay
=2ax-2bx
=2x(a-b)