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\(=2x^3+2x^2-9x^2-9x+10x+10\)
\(=2x^2\left(x+1\right)-9x\left(x+1\right)+10\left(x+1\right)\)
\(=\left(x+1\right)\left(2x^2-9x+10\right)\)
\(=\left(x+1\right)\left[\left(2x^2-4x\right)-\left(5x-10\right)\right]\)
\(=\left(x+1\right)\left[2x\left(x-2\right)-5\left(x-2\right)\right]\)
\(=\left(x+1\right)\left(x-2\right)\left(2x-5\right)\)
x2+7x+10=x^2+2x+5x+10=x(x+2)+5(x+2)=(x+5)(x+2)
thế đúng chưa nhể,
\(b,x^2+6x+5=x^2+x+5x+5=x\left(x+1\right)+5\left(x+1\right)=\left(x+1\right)\left(x+5\right)\)
\(c,x^2-7x+10=x^2-2x-5x+10=x\left(x-2\right)-5\left(x-2\right)=\left(x-2\right)\left(x-5\right)\)
\(\times^2+7\times+12\)
\(=(\times^2+4\times)+\left(3\times+12\right)\)
\(=\times\left(\times+4\right)+3\left(\times+4\right)\)
\(=\left(\times+4\right)\left(\times+3\right)\)
\(x^2+7x+12=x^2+3x+4x+12\)
\(=x\left(x+3\right)+4\left(x+3\right)=\left(x+3\right)\left(x+4\right)\)
\(x^2+7x+12\)
cách 1: \(=x^2+4x+3x+12\)
\(=x\left(x+4\right)+3\left(x+4\right)\)
\(=\left(x+4\right)\left(x+3\right)\)
cách 2: \(=x^2+3x+4x+12\)
\(=x\left(x+3\right)+4\left(x+3\right)\)
\(=\left(x+3\right)\left(x+4\right)\)
cách 3: \(=\left(x^2+7x+12,25\right)-0.25\)
\(=\left(x+3.5\right)^2-0.5^2\)
\(=\left(x+3.5+0.5\right)\left(x+3.5-0.5\right)\)
\(=\left(x+4\right)\left(x+3\right)\)
lấy đâu ra 8 cách vậy trời!!!!!!!!!!!!!!!
Cách 1:
\(x^2+7x+12\)
\(=\left(x^2+4x\right)+\left(3x+12\right)\)
\(=x\left(x+4\right)+3\left(x+4\right)\)
\(=\left(x+3\right)\left(x+4\right)\)
\(x^2-7x+9\)
\(=x^2-2\cdot x\cdot\frac{7}{2}+\left(\frac{7}{2}\right)^2-\frac{13}{4}\)
\(=\left(x-\frac{7}{2}\right)^2-\left(\frac{\sqrt{13}}{2}\right)^2\)
\(=\left(x-\frac{7}{2}-\frac{\sqrt{13}}{2}\right)\left(x-\frac{7}{2}+\frac{\sqrt{13}}{2}\right)\)
\(=\left(x-\frac{7+\sqrt{13}}{2}\right)\left(x-\frac{7-\sqrt{13}}{2}\right)\)
\(3x^4+6x^3-7x^2+8x-10\)
\(=\left(3x^4-3x^3\right)+\left(9x^3-9x^2\right)+\left(2x^2-2x\right)+\left(10x-10\right)\)
\(=\left(x-1\right)\left(3x^3+9x^2+2x+10\right)\)
Ta có : x4 + 8x2 + 7x + 8
= x4 - x + 8x2 + 8x + 8
= x(x3 - 1) + 8(x2 + x + 1)
= x(x - 1)(x2 + x + 1) + 8(x2 + x + 1)
= (x2 - x)(x2 + x + 1) + 8(x2 + x + 1)
= (x2 + x + 1)(x2 - x + 8)
Học tốt nhé !
x3-7x2+10x
=x3-2x2-5x2+10x
=(x3-2x2)-(5x2-10x)
=x2(x-2)-5x(x-2)
=(x2-5x)(x-2)
=x(x-5)(x-2)
giải phương trình:
\(\left(4x+3\right)^2=4\left(x-1\right)^2\)
\(=\left(x+2\right)\left(x+5\right)\)