Question

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

Answer 1

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.

Answer 2

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