28 Multiple Choice 3points Multiply (4x+5)^2 16x^2+20x+10 16x+25 16x^2+40x+25 16x^2+25

To solve the problem, we need to expand the expression \((4x + 5)^2\).<br /><br />Using the binomial theorem, we have:<br />\[<br />(a + b)^2 = a^2 + 2ab + b^2<br />\]<br />where \(a = 4x\) and \(b = 5\).<br /><br />Now, let's apply this formula:<br /><br />1. Calculate \(a^2\):<br />\[<br />(4x)^2 = 16x^2<br />\]<br /><br />2. Calculate \(2ab\):<br />\[<br />2 \cdot (4x) \cdot 5 = 40x<br />\]<br /><br />3. Calculate \(b^2\):<br />\[<br />5^2 = 25<br />\]<br /><br />Combine these results:<br />\[<br />(4x + 5)^2 = 16x^2 + 40x + 25<br />\]<br /><br />Therefore, the correct answer is:<br />\[<br />16x^2 + 40x + 25<br />\]<br /><br />So, the correct choice is:<br />\( 16 x^{2}+40 x+25 \)