Answer:
Step-by-step explanation:
The given equation is:
\(x^{2}-8x-20\)
Simplifying the above equation, we get
\(x^{2}-10x+2x-20\)
\(x(x-10)+2(x-10)\)
\((x+2)(x-10)\)
therefore, the equation \(x^{2}-8x-20\) matches with (B) \((x+2)(x-10)\).
The given equation is :
\(x^{2}+8x-20\)
Simplifying the above equation, we get
\(x^{2}+10x-2x-20\)
\(x(x+10)-2(x+10)\)
\((x-2)(x+10)\)
therefore, the equation \(x^{2}+8x-20\) matches with (D) \((x-2)(x+10)\)
The given equation is:
\(x^{2}-x-20\)
Simplifying the above equation, we get
\(x^{2}-5x+4x-20\)
\(x(x-5)+4(x-5)\)
\((x+4)(x-5)\)
therefore, the equation \(x^{2}-x-20\) matches with (A) \((x+4)(x-5)\).
The given equation is:
\(x^{2}-9x-20\)
This equation ca't be firther simplified or factorised, thus the equation\(x^{2}-9x-20\) matches with (C) Prime.
