Answer:
25[tex]a^{2}[/tex]+5ab+[tex]\frac{b^{2} }{4}[/tex]
Step-by-step explanation:
[tex](5a+\frac{1}{2} b)^{2}[/tex]
1. First, write out the expression without the square
[tex](5a+\frac{1}{2} b)(5a+\frac{1}{2} b)[/tex]
2. Then use foil to multiply:
5a*5a+5a*[tex]\frac{1}{2}b[/tex]+[tex]\frac{1}{2}b[/tex]*5a+[tex]\frac{1}{2}b[/tex]*[tex]\frac{1}{2}b[/tex]
=25[tex]a^{2}[/tex]+5ab+[tex]\frac{b^{2} }{4}[/tex]
3. That is your answer.
