4x^2-4xy+y^2-25a^2+10a-1
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1) \(36x^2-a^2+10a-25\)
\(=\left(6x\right)^2-\left(a^2-10a+25\right)\)
\(=\left(6x\right)^2-\left(a-5\right)^2\)
\(=\left(6x-a+5\right)\left(6x+a-5\right)\)
2) \(4x^2-4xy+y^2-25a^2+10a-1\)
\(=\left(2x-y\right)^2-\left(5a-1\right)^2\)
\(=\left(2x-y-5a+1\right)\left(2x-y+5a-1\right)\)
3) \(m^2-6m+9-x^2+4xy-4y^2\)
\(=\left(m-3\right)^2-\left(x-2y\right)^2\)
\(=\left(m-3-x+2y\right)\left(m+3-x+2y\right)\)
\(4x^2-4xy+y-25a^2+10a-136\)
\(\text{Phân tích thành nhân tử}\)
\(-\left(4xy-y-4x^2+25a^2-10a+136\right)\)
k nhé !
Sửa đề: \(4x^2-4xy+y^2-25a^2+10a-1\)
\(=\left(2x-y\right)^2-\left(5a-1\right)^2\)
\(=\left(2x-y-5a+1\right)\left(2x-y+5a-1\right)\)
Sửa đề: \(4x^2-4xy+y^2-25a^2+10a-1\)
\(=\left(2x-y\right)^2-\left(5a-1\right)^2\)
\(=\left(2x-y-5a+1\right)\left(2x-y+5a-1\right)\)
a:
Sửa đề: \(4x^2-4xy+y^2-25a^2+10a-1\)
\(=\left(2x-y\right)^2-\left(5a-1\right)^2\)
\(=\left(2x-y-5a+1\right)\left(2x-y+5a-1\right)\)
b: Sửa đề: \(ax^2+bx^2+2xy\left(a+b\right)+ay^2+by^2\)
\(=ax^2+ay^2+2xya+bx^2+2xyb+by^2\)
\(=a\left(x+y\right)^2+b\left(x+y\right)^2\)
\(=\left(x+y\right)^2\left(a+b\right)\)
\(1.25a^2+10a+1\)
\(=\left(5a\right)^2+2.5a.1+1^2\)
\(=\left(5a+1\right)^2\)
\(2.2x^8-12x^4+18\)
\(=2\left(x^8-6x^4+9\right)\)
\(=2\left[\left(x^4\right)^2-2.x^4.3+3^2\right]\)
\(=2\left(x^4-3\right)^2\)
\(=2\left(x^2-\sqrt{3}\right)^2\left(x^2+\sqrt{3}\right)^2\)
\(3.4x+4xy^6+xy^{12}\)
\(=x\left(y^{12}+4y^6+4\right)\)
\(=x\left[\left(y^6\right)^2+2.y^6.2+2^2\right]\)
\(=x\left(y^6+2\right)^2\)
Câu 1
\(25a^2+10a+1\)
\(=\left(5a\right)^2+2\cdot5\cdot a+1\)
\(=\left(5a+1\right)^2\)
Câu 3 dễ nên mk chỉ làm được câu 3 thôi
3.\(x^2\left(a+b\right)-4xa-4xb+4a+4b\)
\(=x^2\left(a+b\right)-4x\left(a+b\right)+4\left(a+b\right)\)
\(=\left(a+b\right)\left(x^2-4x+4\right)\)
\(=\left(a+b\right)\left(a-b\right)^2\)
1: Sửa đề: \(4x^2-4xy+y^2-25a^2+10a-1\)
\(=\left(2x-y\right)^2-\left(5a-1\right)^2\)
\(=\left(2x-y-5a+1\right)\left(2x-y+5a-1\right)\)
2: Sửa đề: \(ax^2+bx^2+2axy+2bxy+ay^2+by^2\)
\(=a\left(x^2+2xy+y^2\right)+b\left(x^2+2xy+y^2\right)\)
\(=\left(x+y\right)^2\left(a+b\right)\)
\(=\left(4x^2-4xy+y^2\right)-\left(25a^2-10a+1\right)=\left(2x-y\right)^2-\left(5a-1\right)^2\)
\(=\left(2x-y-5a+1\right)\left(2x-y+5a-1\right)\)
\(=\left(4x^2-4xy+y^2\right)-\left(25a^2-10a+1\right)\\ =\left(2x-y\right)^2-\left(5a-1\right)^2\\ =\left(2x-y-5a+1\right)\left(2x-y+5a-1\right)\)