\(4x^2-7x+1-A=3x^2-7x-1\)
Tím đa thức A
ai nhanh miik tích ạ
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
\(a,Đề.sai\\ b,=\left(x^2+3x+1\right)^2+\left(x^2+3x+1\right)-6\\ =\left(x^2+3x+1-2\right)\left(x^2+3x+1+3\right)\\ =\left(x^2+3x-1\right)\left(x^2+3x+4\right)\)
\(a.=4x\left(x^2-2xy+y^2\right)\)
\(=4x\left(x-y\right)^2\)
\(b.=4x\left(x-2y\right)-7\left(x-2y\right)\)
\(=\left(4x-7\right)\left(x-2y\right)\)
a)\(2x^2-3x-2\)
\(=2x^2+x-4x-2\)
\(=x\left(2x+1\right)-2\left(2x+1\right)\)
\(=\left(x-2\right)\left(2x+1\right)\)
b)\(3x^2+x-2\)
\(=3x^2-2x+3x-2\)
\(=x\left(3x-2\right)+\left(3x-2\right)\)
\(=\left(x+1\right)\left(3x-2\right)\)
c)\(4x^2-7x-2\)
\(=4x^2+x-8x-2\)
\(=x\left(4x+1\right)-2\left(4x+1\right)\)
\(=\left(x-2\right)\left(4x+1\right)\)
d)\(4x^2+5x-6\)
\(=4x^2-3x+8x-6\)
\(=x\left(4x-3\right)+2\left(4x-3\right)\)
\(=\left(x+2\right)\left(4x-3\right)\)
ý 1:
2x2-3x-2=2x2-4x+x-2=2x(x-2)+(x-2)=(x-2)(2x+1)
ý 2:
3x2+x-2=3x2+3x-2x-2=(3x2+3x)-(2x+2)=3x(x+1)-2(x+1)=(x+1)(3x-2)
ý 3:
4x2-7x-2=4x2-8x+x-2=(4x2-8x)+(x-2)=4x(x-2)+(x-2)=(x-2)(4x+1)
ý 4:
4x2+5x-6=4x2+8x-3x-6=(4x2+8x)-(3x+6)=4x(x+2)-3(x+2)=(x+2)(4x-3)
1. Phân tích đa thức thành nhân tử
a, 1/4x^2-5xy+25y^2
b, (7x-4)^2-(2x+1)^2
c, (x-2)^2-4y
d, 125-x^6
a) \(\frac{1}{4}x^2-5xy+25y^2=\left(\frac{1}{2}x\right)^2-5xy+\left(5y\right)^2\)
\(=\left(\frac{1}{2}x-5y\right)^2\)
b) \(\left(7x-4\right)^2-\left(2x+1\right)^2\)
\(=\left(7x-4+2x+1\right)\times\left(7x-4-2x-1\right)=\left(9x-3\right)\times\left(5x-5\right)\)
\(=3\times5\times\left(3x-1\right)\times\left(x-1\right)=15\times\left(3x-1\right)\times\left(x-1\right)\)
c)\(\left(x-2\right)^2-4y^2=\left(x-2-2y\right)\left(x-2+2y\right)\)
d) \(125-x^6=5^3-\left(x^2\right)^3=\left(5-x^2\right)\left(25+5x^2+x^4\right)\)
a, 3x^2-7x+2
=3x^2-2x-3x+2
=x(3x-2)-(3x-2)
=(x-1)(3x-2)
b, a(x^2+1)-x(a^2+1)
=(a-x)(x^2+1)
chúc bạn học tốt
b, x2-2x-y2+1
=(x-1)2-y2
(HĐT số 2)
=(x-y-1)(x+y-1)
(HĐT số 3)
c, (x2+x)2+4(x2+x)-12
=(x2+x)2+4(x2+x)+4-16
=(x2+x+2)2-16 (HĐT số 1)
=(x2+x+2-4).(x2+x+2+4)
(HĐT số 3)
=(x2+x-2).(x2+x+6)
=(x2+2x-x-2) .(x2+x+6)
=(x+2).(x-1). (x2+x+6)
a, x3+4x2-7x-10
=x3-2x2+6x2-12x+5x-10
=x2(x-2) + 6x(x-2)+5(x-2)
=(x-2)(x2+6x+5)
=(x-2)(x2+5x+x+5)
=(x-2)(x+5)(x+1)
\(\Rightarrow-A=\left(3x^2-7x-1\right)-\left(4x^2-7x+1\right)\)
\(=3x^2-7x-1-4x^2+7x-1\)
\(=\left(3x^2-4x^2\right)+\left(-7x+7x\right)+\left(-1-1\right)\)
\(=-x^2-2\)
\(\Rightarrow A=-\left(-x^2-2\right)\)
\(=x^2+2\)
cảm ơn bạn nha