We transform 105 into 100 + 5 and apply the identity with a = 100 and b = 5. Adding the squared values to the middle cross-product gives the correct total.
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We substitute a = 1/x and b = 1/y into the identity. Finding the squares of these fractional variables and combining their cross-product gives the final simplified rational terms.
We use the identity with a = 7/5 x and b = 3/2 y. Squaring the fractional coefficients and multiplying two with both terms yields the expanded expression with simplified fraction terms.