Can you take the quantity [ x + y ] and square it ?
Can you take the quantity [ x + 2y ] and square it ?
Then you should have no trouble with the square of (.9x + .8y) .
The square of any binomial (expression with 2 terms) is
(square of the first term)
(square of the second term)
2 times (product of the terms) .
To square the expression ( 0.9 x + 0.8 y ) 2 , use the binomial formula, which gives you 0.81 x 2 + 1.44 x y + 0.64 y 2 . This involves squaring each term and adding twice the product of the two terms. The final result is 0.81 x 2 + 1.44 x y + 0.64 y 2 .
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