d) \(ax^2-5x^2-ax+5x+a-5=\left(ax^2-ax+a\right)+\left(-5x^2+5x-5\right)\)
\(=a\left(x^2-x+1\right)-5\left(x^2-x+1\right)=\left(a-5\right)\left(x^2-x+1\right)\)
e) \(ax-bx-2cx-2a+2b+4c=x\left(a-b-2c\right)-2\left(a-b-2c\right)\)
\(=\left(x-2\right)\left(a-b-2c\right)\)
ax^2 - 5x^2-ax+5x+a-5
=x^2(a-5) -x(a-5)+(a-5)
=(a-5)(x^2-x+1)
ax-bx-2cx-2a+2b+4c
=x(a-b-c) -2(a-b-c)
=(x-2)(a-b-c)
Nhập ĐT nên k tiện gõ công thức, thông cảm
d, \(ax^2-5x^2-ax+5x+a-5\)
\(=\left(ax^2-ax+a\right)-\left(5x^2-5x+5\right)\)
\(=a\left(x^2-x+1\right)-5\left(x^2-x+1\right)\)
\(=\left(a-5\right)\left(x^2-x+1\right)\)
e, \(ax-bx-2cx-2a+2b+4c\)
\(=a\left(x-2\right)-b\left(x-2\right)-2c\left(x-2\right)\)
\(=\left(x-2\right)\left(a-b-2c\right)\)
f, \(\left(4x^2-7x-50\right)^2-16x^4-56x^3-49x^2\)
\(=\left(4x^2-7x-50\right)\left(4x^2-7x-50\right)-16x^4-56x^3-49x^2\)
\(=16x^4-28x^3-200x^2-28x^3+49x^2+350x-200x^2+350x+2500-16x^4-56x^3-49x^2\)
\(=-112x^3-400x^2+700x+2500\)
\(=-\left(112x^2+400x^2-700x-2500\right)\)
\(=-\left(112x^3-280x^2+680x^2-1700x+1000x-2500\right)\)
\(=-\left[112x^2\left(x-2,5\right)+680x\left(x-2,5\right)+1000\left(x-2,5\right)\right]\)
\(=-\left[\left(x-2,5\right)\left(112x^2+680x+1000\right)\right]\)
\(=-\left[\left(x-2,5\right)\left(112x^2+280x+400x+1000\right)\right]\)
\(=-\left\{\left(x-2,5\right)\left[112x\left(x+2,5\right)+400\left(x+2,5\right)\right]\right\}\)
\(=-\left[\left(x-2,5\right)\left(x+2,5\right)\left(112x+400\right)\right]\)
\(=-\left[16\left(x-2,5\right)\left(x+2,5\right)\left(7x+25\right)\right]\)
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