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.
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We apply the identity by substituting a = 7x and b = 4y. Squaring both individual terms and calculating twice their product gives us the terms 49x square, 56xy, and 16y square.
The merchant gets 15 ingots for every 2 spice bags. To find the total for 12 bags, divide 12 by 2 to get 6 pairs, then multiply 6 by 15, resulting in 90 copper ingots.
The equation is w = 3d. For a distance of d = 2 units, substituting it into the linear equation gives the work done as w = 3(2) = 6 units. Plotting (2, 6) confirms this on the graph.
Let the tens digit be x and units digit be x – 3. The number is 11x – 3. Interchanging digits gives 11x – 30. Adding them, 22x – 33 = 143, solving to x = 8. The numbers are ...