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.
x² + 4xy + 4y²
(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
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