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Zadatak 0770

Test: MPo7BGII_155

 

Kvadriraj sledeće binome:

a) \(3-x\);

b) \(5x+2\);

c) \(\frac{1}{3}x+3\).

 

Rešenje:


 

a) \(3-x\);

$$(3-x)^2=3^2-2\cdot 3\cdot x+x^2$$

$$=9-6x+x^2$$

b) \(5x+2\);

$$(5x+2)^2=(5x)^2+2\cdot 5x\cdot 2+2^2$$

$$=25x^2+20x+4$$

c) \(\frac{1}{3}x+3\).

$$\left (\frac{1}{3}x+3  \right )^2$$

$$=\left ( \frac{1}{3}x \right )^2+2\cdot \frac{1}{3}x\cdot 3+3^2$$

$$=\frac{1}{9}x^2+2x+9$$


 

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