Question

Efectuati 
a.(x - √11)²
b.(-x-√11)²
c(-x+√11)².
d.(x+√11)²
e.(√11-x)²
f.(√11+x)²
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Answer 1

Te folosesti de formulele de calcul prescurtat:
$(a+b) ^{2} = a^{2} + 2ab + b^{2}$
$(a-b) ^{2} = a ^{2} - 2ab +b ^{2}$

a)$(x- \sqrt{11} ) ^{2} = x^{2} - 2x \sqrt{11} + \sqrt{11} ^{2} = x^{2} - 2x \sqrt{11} + 11$
b) $(-x- \sqrt{11}) ^{2} = x^{2} - 2x \sqrt{11} - \sqrt{11}^{2}  = x^{2} - 2x \sqrt{11}+11$
c) $(-x- \sqrt{11} ) ^{2} = x^{2} -2x \sqrt{11} + \sqrt{11} ^{2} =x^{2} -2x \sqrt{11} +11$
d)$(x+ \sqrt{11} ) ^{2} = x^{2} +2x \sqrt{11} + \sqrt{11} ^{2} =x^{2} +2x \sqrt{11} +11$
e)$( \sqrt{11} -x ) ^{2} = \sqrt{11} ^{2} -2x \sqrt{11} + x^{2} =11-2x \sqrt{11} + x^{2}$
f)$( \sqrt{11} +x ) ^{2} = \sqrt{11} ^{2} +2x \sqrt{11} + x^{2} =11+2x \sqrt{11} + x^{2}$