Asked by (x – 5)2
(2x + 7)2
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There are different ways to approach the simplification of this expression, but one common method is to expand the expression using the distributive property of multiplication:
(2x + 7)2 = (2x + 7)(2x + 7)
= 2x(2x) + 2x(7) + 7(2x) + 7(7) (using FOIL or the distributive property twice)
= 4x^2 + 14x + 14x + 49
= 4x^2 + 28x + 49
Therefore, (2x + 7)2 simplifies to 4x^2 + 28x + 49.
(2x + 7)2 = (2x + 7)(2x + 7)
= 2x(2x) + 2x(7) + 7(2x) + 7(7) (using FOIL or the distributive property twice)
= 4x^2 + 14x + 14x + 49
= 4x^2 + 28x + 49
Therefore, (2x + 7)2 simplifies to 4x^2 + 28x + 49.
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