Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
Bài 3 Tính nhanh
A, 892^2+892.216+108^2 B, 36^2+26^2-52.36
=892^2+2.892.108+108^2 =36^2-52.62+26^2
=(892+108)^2
=1000^2
=1000000
Bài 4 Phân tích đa thức sau thành nhân tử
X^3-2x^2+x
5(x-y)-y(x-y)
36-12x+x^2
4x^2+12x-9
Bài 3:
\(892^2+892.216+108^2=892^2+2.892.108+108^2=\left(892+108\right)^2=1000000\)
\(36^2+26^2-52.36=36^2-2.26.36+26^2=\left(36-26\right)^2=100\)
Bài 4:
\(x^3-2x^2+x=x.\left(x^2-2x+1\right)=x.\left(x-1\right)^2\)
\(5.\left(x-y\right)-y.\left(x-y\right)=\left(5-y\right)\left(x-y\right)\)
\(36-12x+x^2=x^2-12x+36=x^2-2x.6+6^2=\left(x-6\right)^2\)
\(4x^2+12x-9=\left(2x\right)^2+2.2x.3+3^2=\left(2x+3\right)^2\)
\(=\left(x-y\right)\left(x+y\right)-7\left(x-y\right)\)
\(=\left(x-y\right)\left(x+y-7\right)\)
\(=100^2=10000\)
a) x2 - 7x + 12
= x2 - 4x - 3x + 12
= x(x - 4) - 3(x - 4)
=(x - 3)(x - 4)
b) x2 - 5x - 14
= x2 + 2x - 7x - 14
= x(x + 2) - 7(x + 2)
= (x - 7)(x + 2)
c) 4x2 - 3x - 1
= 4x2 - 4x + x - 1
= 4x(x - 1) + (x - 1)
= (4x + 1)(x - 1)
d) 2x2 - 3x + 1
= 2x2 - 2x - x + 1
= 2x(x - 1) - (x - 1)
= (2x - 1)(x - 1)
e) x4 + 64
= x4 + 16x2 + 64 - 16x2
= (x2 + 8)2 - (4x)2
= (x2 - 4x + 8)(x2 + 4x + 8)
a) = x2 - 3x - 4x + 12 = x( x - 3 ) - 4( x - 3 ) = ( x - 3 )( x - 4 )
b) = x2 - 7x + 2x - 14 = x( x - 7 ) + 2( x - 7 ) = ( x - 7 )( x + 2 )
c) = 4x2 - 4x + x - 1 = 4x( x - 1 ) + ( x - 1 ) = ( x - 1 )( 4x + 1 )
d) = 2x2 - 2x - x + 1 = 2x( x - 1 ) - ( x - 1 ) = ( x - 1 )( 2x - 1 )
d) = x4 + 16x2 + 64 - 16x2 = ( x2 - 8 )2 - (4x)2 = ( x2 - 4x - 8 )( x2 - 4x + 8 )
a) = ( x - 3 )2 - ( 3x )2 = ( -2x - 3 )( 4x - 3 )
b) = x( x - 2y ) - ( x - 2y ) = ( x - 2y )( x - 1 )
a) \(\left(x-3-3x\right).\left(x-3+3x\right)\)
b) \(\left(x-2y\right).\left(x-1\right)\)
\(7^2-14.107+107^2\)
\(=7^2-2.7.107+107^2\)
\(=\left(7-107\right)^2\)
\(=\left(-100\right)^2=10000\)