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a) 7x+7y=7(x+y)
b) 2x2y-6xy2=2xy(x-3y)
c)3x(x-1)+7x2(x-1)=x(x-1)(3+7x)
d)3x(x-4)+5x2(4-x)=(x-4)(3x-5x2)
=x(x-4)(3-5x)
e)6x4-9x3=3x3(2x-3)
f)5y8-15y6=5y6(y2-3)
a) 4x2-1=(2x)2-12=(2x-1)(2x+1)
b)25x2-0.09=(5x)2-\(\left(\frac{3}{10}\right)^2\)=\(\left(5x-\frac{3}{10}\right)\left(5x+\frac{3}{10}\right)\)
c)9x2-14=(3x)2-\(\sqrt{14}^2\)=(3x-\(\sqrt{14}\))(3x+\(\sqrt{14}\))
d) (x-y)2-4=(x-y)2-22=(x-y-2)(x-y+2)
e) 9-(x-y)2=33-(x-y)2=(3-x+y)(3+x-y)
f)(x2+4)2-16x2=(x2+4)2-(4x)2=(x2+4+4x)(x2+4-4x)
Chúc hok tốt!!!
\(a,\)\(4x^2-1\)\(=\left(2x\right)^2-1^2=\left(2x+1\right)\left(2x-1\right)\)
\(b,\)\(25x^2-0,09=\left(5x\right)^2-0,3^2=\left(5x-0,3\right)\left(5x+0,3\right)\)
\(c,\)\(9x^2-14=\left(3x\right)^2-\left(\sqrt{14}\right)^2=\left(3x-\sqrt{14}\right)\left(3x+\sqrt{14}\right)\)
\(d,\)\(\left(x-y\right)^2-4=\left(x-y\right)^2-2^2=\left(x-y+2\right)\left(x-y-2\right)\)
\(e,\)\(9-\left(x-y\right)^2=3^2-\left(x-y\right)^2=\left(3-x+y\right)\left(3+x-y\right)\)
\(f,\)\(\left(x^2+4\right)^2-16x^2=\left(x^2+4\right)^2-\left(4x\right)^2=\left(x^2+4-4x\right)\left(x^2+4+4x\right)\)
\(=\left(x^2-2.2x+2^2\right)\left(x^2+2.2x+2^2\right)\)
\(=\left(x-2\right)^2\left(x+2\right)^2\)
a. Biểu thức ko thể biểu diễn dưới dạng tích của các thừa số
b. (x-1)(4x+1)
c. -(3z^2-5y^2-6xy-3x^2)
d. x(y^2-2xy+x-9)
e. -(y-x)(y-x+2)
f. y^3+xy^2+3x^2y-y+x^2-x
HỌC TỐT.
a) \(x^2+4x+3\)
\(=x^2+3x+x+3\)
\(=x\left(x+3\right)+\left(x+3\right)\)
\(=\left(x+1\right)\left(x+3\right)\)
a, \(x^3-2x^2+3x-6=x\left(x^2+3\right)-2\left(x^2+3\right)=\left(x-2\right)\left(x^2+3\right)\)
b, \(x^2+2x+1-4y^2=\left(x+1\right)^2-\left(2y\right)^2=\left(x+1-2y\right)\left(x+1+2y\right)\)
(x2 + x + 2)(x2 + 9x + 18) - 28
= x4 + 10x3 + 29x2 + 36x + 36 - 28
= x4 + 10x3 + 29x2 + 36x + 8
a/ \(12x^2+5x-12y^2+12y-10xy-3.\)
\(=12x^2+9x-4x-12y^2+6y+6y-18xy+8xy-3.\)
\(=\left(12x^2-18xy+9x\right)-\left(4x-6y+3\right)+\left(8xy-12y^2+6y\right)\)
\(=3x\left(4x-6y+3\right)-\left(4x-6y+3\right)+2y\left(4x-6y+3\right)\)
\(=\left(4x-6y+3\right)\left(3x-1+2y\right)\)
2/ \(2x^2+y^2+3x-2y-3xy+1\)
\(=\left(y^2-2y+1\right)+\left(3x-3xy\right)+2x^2\)
\(=\left(y-1\right)^2+3x\left(1-y\right)+2x^2\)
\(=\left(y-1\right)^2-3x\left(y-1\right)+2x^2\)
giải chi tiết các bn nha.
a) \(3x^2-5x+2=3x^2-2x-3x+2=x\left(3x-2\right)-\left(3x-2\right)=\left(x-1\right)\left(3x-2\right)\)
b) \(2x^2+x-6=2x^2-3x+4x-6=x\left(2x-3\right)+2\left(2x-3\right)=\left(2x-3\right)\left(x+2\right)\)
c) \(x^2-5x-14=x^2+2x-7x-14=x\left(x+2\right)-7\left(x+2\right)=\left(x+2\right)\left(x-7\right)\)
d) \(15x^2+7x-2=15x^2-3x+10x-2=3x\left(5x-1\right)+2\left(5x-1\right)=\left(5x-1\right)\left(3x+2\right)\)