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EXPAND THE POLONOMIAL

(5a+1/2b)^2 HELPPP ASAP


Sagot :

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.