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(x2 - 5x + 1)2 + 2(5x - 1)(x2 - 5x + 1) + (5x - 1)2 = (x2 - 5x + 1 + 5x - 1)2 = (x2)2 = x4
a)\(\left(3x\right)^2-2×3x+1^2=\left(3x-1\right)^2\)
b)\(\left(2x\right)^2+2×2x+1^2=\left(2x+1\right)^2\)
c)\(\left(2x\right)^2+2×2x×3y+\left(3y\right)^2=\left(2x+3y\right)^2\)
d)\(-\left(4x^2-12xy+9y^2\right)=-\left[\left(2x\right)^2-2×2x×3y+\left(3x\right)^2\right]=-\left[\left(2x-3y\right)^2\right]\)
\(a,(x^3-x+1)(2x+1)+(x-1)(x+2)\)
\(=2x^4-2x^2+2x+x^3-x+1+x^2-x+2x-2\)
\(=2x^4+x^3+(-2x^2+x^2)+(2x-x-x+2x)+(1-2)\)
\(=2x^4+x^3-x^2+2x-1\)
\(b,(2x+a)(2x-3a)-5a(x+3)\)
\(=4x^2+2ax-6ax-3a^2-5ax-15a\)
\(=4x^2+(2ax-6ax-5ax)-3a^2-15a\)
\(=4x^2-9ax-3a^2-15a\)
Chúc bạn học tốt
a, \(\left(x^3-x+1\right)\left(2x+1\right)+\left(x-1\right)\left(x+2\right)\)
\(=2x^4+x^3-2x^2-x+2x+1+x^2+2x-x-2\)
\(=2x^4+x^3-x^2+2x-1\)
b, \(\left(2x+a\right)\left(2x-3a\right)-5a\left(x+3\right)\)
\(=4x^2-6xa+2ax-3a^2-5ax-15a\)
\(=4x^2-9ax-3a^2-15a\)
a) \(\dfrac{9}{4}-3y+y^2\)
\(=\left(\dfrac{3}{2}\right)^2-3y+y^2\)
\(=y^2-2\cdot\dfrac{3}{2}\cdot y+\left(\dfrac{3}{2}\right)^2\)
\(=\left(y-\dfrac{3}{2}\right)^2\)
b) \(x^3+6x^2y+12xy^2+8y^3\)
\(=x^3+6x^2y+12xy^2+\left(2y\right)^3\)
\(=x^3+3\cdot x^2\cdot2y+3\cdot x\cdot\left(2y\right)^2+\left(2y\right)^3\)
\(=\left(x+2y\right)^2\)
a, Nghĩa là phân tích phải không
\(6x^2-48x-5=6x.\left(x-8\right)-5=...\)