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36 votes
36 votes
Place the indicated product in the proper location on the grid. (2x - 1/2)2

User Nishant Patel
by
3.1k points

2 Answers

20 votes
20 votes

Answer:

4x² - 2x + 1/4

Explanation:

The perfect square trinomial formula states "the product is the first term squared plus twice the first term times the second term plus the second term squared" So applying this to the equation (2x - 1/2)² we have

(2x)² - 2(2x)(-1/2) + (1/2)². Then I simplified it which gives the final equation 4x² - 2x + 1/4.

User Theodor Peifer
by
2.9k points
21 votes
21 votes

Answer:

x² + 4xy + 4y²

Explanation:

(x + 2y)² = (x + 2y)(x + 2y)

x(x + 2y) + 2y(x + 2y) ← distribute both parenthesis

= x² + 2xy + 2xy + 4y² ← collect like terms

= x² + 4xy + 4y²

User Amorfis
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2.7k points