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a) \(13,5\times5,8-8,3\times4,2-5,8\times8,3+4,2\times13,5\)
\(=13,5\times\left(5,8+4,2\right)-8,3\times\left(4,2+5,8\right)\)
\(=10\times\left(13,5-8,3\right)=10\times5,2=52\)
b) \(7,8\times55,1+92,2\times55,1-7,8\times5,1-92,2\times5,1\)
\(=55,1\times\left(7,8+99,2\right)-5,1\times\left(7,8+99,2\right)\)
\(=100\times\left(55,1-5,1\right)=100\times50=5000\)
c) \(N=a^3-a^2b-ab^2+b^3=\left(a-b\right)^2\left(a+b\right)\)
\(=\left(5,75-4,25\right)^2.\left(5,75+4,25\right)=1,5^2\times10=22,5\)
a, 36.28+36.82 +64.69+64.41
=36(28+82)+64(69+41)
=36.110+64.110
=110(36+64)
=110.100
=11000
Bài 1 :
\(x^2-6x+8=x^2-2x-4x+8=x\left(x-2\right)-4\left(x-2\right)=\left(x-4\right)\left(x-2\right)\)
Bài 2 :
\(x^8+x^7+1=x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1-x^6-x^5-x^4-x^3-x^2-x\)
\(=x^6\left(x^2+x+1\right)+x^3\left(x^2+x+1\right)+x^2+x+1-x^4\left(x^2+x+1\right)-x\left(x^2+x+1\right)\)
=\(\left(x^2+x+1\right)\left(x^6+x^3+1-x^4-x\right)\)
Tick đúng nha
#)Giải :
\(x^3-2x-4\)
\(=x^3+2x^2-2x^2+2x-4x-4\)
\(=x^3+2x^2+2x-2x^2-4x-4\)
\(=x\left(x^2+2x+2\right)-2\left(x^2+2x+2\right)\)
\(=\left(x-2\right)\left(x^2+2x+2\right)\)
\(x^4+2x^3+5x^2+4x-12\)
\(=x^4+x^3+6x^2+x^3+x^2+6x-2x^2-2x-12\)
\(=x^2\left(x^2+x+6\right)+x\left(x^2+x+6\right)-2\left(x^2+x+6\right)\)
\(=\left(x^2+x+6\right)\left(x^2+x-2\right)\)
\(=\left(x^2+x+6\right)\left(x-1\right)\left(x+2\right)\)
Câu 1.
Đoán được nghiệm là 2.Ta giải như sau:
\(x^3-2x-4\)
\(=x^3-2x^2+2x^2-4x+2x-4\)
\(=x^2\left(x-2\right)+2x\left(x-2\right)+2\left(x-2\right)\)
\(=\left(x-2\right)\left(x^2+2x+2\right)\)
Đề sai nhé .Sửu lại
\(x^2-4x^2y^2+4+4x\)
\(=\left(x^2+4x+4\right)-4x^2y^2\)
\(=\left(x+2\right)^2-\left(2xy\right)^2\)
\(=\left(x+2+2xy\right)\left(x+2-2xy\right)\)
\(x^2+x-6\)
\(=x^2-2x+3x-6\)
\(=x\left(x-2\right)+3.\left(x-2\right)\)
\(=\left(x+3\right)\left(x-2\right)\)
1a) \(=-\left(x^3-3x^2+3x-1\right)=-\left(x-1\right)^3\)
b) \(=-\left(x^3-3x^2+3x-1\right)=-\left(x-1\right)^3\)
\(a,=-\left(x-1\right)^3\left[=\left(1-x\right)^3\right]\\ b,=\left(1-x\right)^3\)
13.5 x 5.8 - 8.3 x 4.2 - 5.8 x 8.3 + 4.2 x 13.5
= ( 13.5 x 5.8 + 4.2 x 13.5 ) - ( 8.3 x 4.2 + 5.8 x 8.3 )
= 13.5 x ( 5.8 + 4.2 ) - 8.3 x ( 4.2 + 5.8 )
= 13.5 x 10 - 8.3 x 10
= ( 13.5 - 8.3 ) x 10
= 5.2 x 10
= 52