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Step-by-step explanation:
Expand the right side using the distributive property, then collect terms.
x² -y² = (x -y)(x +y)
= (x)(x +y) -y(x +y)
= x² +xy -yx -y²
= x² +(xy -xy) -y²
= x² -y² . . . . . . . . . . as required
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