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(√2+1)² - (2-√2)²= 2+2√2+1-(4-4√2+2)=
2+2√2+1-4+4√2-2=6√2-3=3(2√2-1)
2.
w(x)=3x³-7x²+1
P(x)= 2x²+7
Q(x)=x⁶-2x⁵-7x²
a)W(x)*P(X)-Q(x)=(3x³-7x²+1)* (2x²+7)*(x⁶-2x⁵-7x²)=(6x⁵+21x³-14x⁴-49x²+2x²+7)*(x⁶-2x⁵-7x²)=(6x⁵+21x³-14x⁴-47x²+7)*(x⁶-2x⁵-7x²)=...
b)W(-2)
3*(-2)³-7(-2)²+1=3*-8-7*4=-24-28=-52