Indicate the perfect squares among the following. Express each of the perfect squares as the
square of a binomial. What numbers should be added to those which are not perfect squares so
that the expressions may become perfect squares?
(b) x² + 4x +1 (c) 4a? +4a.
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Both x2 and 36 are perfect squares, and 12x is twice the product of x and 6. Since all signs are positive, the pattern is (a + b)2 = a2 + 2ab + b2. Let a = x and b = 6.
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