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Algebraic Identity: (a - b)^2 = a^2 + b^2 - 2ab

A square gard...

Question

A square garden measures y feet on each side. If the length of the garden is increased three times and the width is increased by 6 feet, then what will be the increase in the area?

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Solution

length = a

width = a

area = a*b

new dimension

length = 3a

width = a+6

so new area = (3a)(a+6)

= 3a^2 + 18a

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