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a) 8x2 - 2x - 1
=8x2+2x-4x-1
=2x.(4x+1)-(4x+1)
=(4x+1)(2x-1)
b) x2 - y2 + 10x - 6y + 16
=x2+10x+25-y2-6y-9
=(x+5)2-(y+3)2
=(x+5-y-3)(x+5+y+3)
=(x-y+2)(x+y+8)
a) 8x2-2x-1=8x2+4x-2x-2x-1=(8x2+4x)-(2x+1)=4x.(2x+1)-(2x+1)=(2x+1).(4x-1)
b) x2-y2+10x-6y+16x=x2-y2+10x+10y-16y+16x=(x-y)(x+y)+10(x+y)-16(y+x)=(x+y)(x-y+10+16)
a, = (x^3-x^2)-(4x^2-4x)+(4x-4)
= (x-1).(x^2-4x+4) = (x-1).(x-2)^2
b, = (x^3+x^2)-(10x^2+10x)+(16x+16)
= (x+1).(x^2-10x+16)
= (x+1).[ (x^2-2x)-(8x-16) ] = (x+1).(x-2).(x-8)
k mk nha
a)= (x^3-x^2)-(4x^2-4x)+(4x-4)
= (x-1).(x^2-4x+4)
= (x-1).(x-2)^2
b)= (x^3+x^2)-(10x^2+10x)+(16x+16)
= (x+1).(x^2-10x+16)
= (x+1).[ (x^2-2x)-(8x-16) ]
= (x+1).(x-2).(x-8)
P/s tham khảo nha
1) 6x^2 + 7x - 5
=6x2-3x+10x-5
=3x.(2x-1)+5.(2x-1)
=(2x-1)(3x+5)
2) 10x^2 - 13x - 3
=10x2+2x-15x-3
=2x(5x+1)-3(5x+1)
=(5x+1)(2x-3)
\(6x^2+7x-5\)
\(=6x^2-3x+10x-5\)
\(=3x\left(2x-1\right)+5\left(2x-1\right)\)
\(=\left(2x-1\right)\left(3x+5\right)\)
\(x^2+6x-8x-48=\left(x^2+6x\right)-\left(8x+48\right)\)
\(=x\left(x+6\right)-8\left(x+6\right)=\left(x+6\right)\left(x-8\right)\)
Theo bài ra , ta có :
\(x^2-2x+1-49\)
\(=\left(x-1\right)^2-7^2\)
\(=\left(x-1-7\right)\left(x-1+7\right)\)
\(x^2-y^2+10x-6y+16\)
\(=\left(x^2+10x+25\right)-\left(y^2+6y+9\right)\)
\(=\left(x+5\right)^2-\left(y+3\right)^2\)
\(=\left(x+5-y-3\right)\left(x+5+y+3\right)\)
\(=\left(x-y+2\right)\left(x+y+8\right)\)
a)3x2+7x-6
=3x2-2x+9x-6
=x(3x-2)+3(3x-2)
=(x+3)(3x-2)
b)8x2-2x-3
=8x2-6x+4x-3
=2x(4x-3)+(4x-3)
=(2x+1)(4x-3)
c)6x2-15x+6
=3(2x2-5x+2)
=3(2x2-x-4x+2)
=3[x(2x-1)-2(2x-1)]
=3(x-2)(2x-1)
d)10x2+7x-6
=10x2+12x-5x-6
=2x(5x+6)-(5x+6)
=(2x-1)(5x+6)
\(x^2-y^2+10x-6y+16=\left(x^2+10x+25\right)-\left(y^2+6y+9\right)\)(tách 16 thành 25 - 9 xog nhóm vào)
\(=\left(x+5\right)^2-\left(y+3\right)^2=\left(x+5+y+3\right).\left(x+5-y-3\right)\)
\(=\left(x+y+8\right).\left(x-y+2\right)\)
Chúc bạn học tốt .
x^2−y^2+10x−6y+16
=(x^2+10x+25)-(y^2+6y+9)
=(x+5)^2-(y+3)^2
=(x+5+y+3)(x+5-y-3)
=(x+y+8)(x-y+2)