Question

Descompuneti in factori :
a)$(3x+1) ^{2} -(x+3) ^{2}$
b)$(3x+5) ^{2} -(x+1) ^{2}$
c)$(x+ \sqrt{2} ) ^{2} -8$
d)$a^{6} - b^{6}$
e)$( \sqrt{2x} -1) ^{2} -32 x^{2}$
f)$x^{2} - 2\sqrt{3} x+3-(y-2 \sqrt{3} ) ^{2}$
g)$14a-49 a^{2} +100 b^{2} -1$
Urgent!!!!!

Answer 1

a)=9x²+3x+3x+1-(x²+3x+3x+9)=9x²+6x+1-x²-6x-9=8x²-8=8(x²-1)
b)=3x²+30x+25-(x²+2x+1)=3x²+30x+25-x²-2x-1=2x²+28x+24=2(x²+14x+12)
c)=x²+2√2x+2-8=x²+2√2x-6
d)=(a³-b³)(a³+b³)
e)=2x-2√2x+1-32x²=-32x²+2x(1-√2)+1
f)=x²-2√3x+3-(y²-4√3y+4·3)=x²-2√3x+3-y²+4√3y-12=
(x²-y²)-2√3(x-2y)-9
g)=7a(2-7a)+(10b-1)(10b+1)