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x=7
nên x+1=8
\(A=x^{15}-x^{14}\left(x+1\right)+x^{13}\left(x+1\right)-...-x^2\left(x+1\right)+x\left(x+1\right)-5\)
\(=x-5=7-5=2\)
x=7 nên x+1=8
B=x^15-x^14(x+1)+x^13(x+1)-...-x^2(x+1)+x(x+1)-5
=x^15-x^15-x^14+x^14+...-x^3-x^2+x^2+x-5
=x-5
=7-5
=2
x=7 nen x+1=8
\(A=x^{15}-x^{14}\left(x+1\right)+x^{13}\left(x+1\right)-...+x^3\left(x+1\right)-x^2\left(x+1\right)+x\left(x+1\right)-5\)
\(=x^{15}-x^{15}-x^{14}+x^{14}+...+x^4+x^3-x^3-x^2+x^2+x-5\)
=x-5
=2
Ta có x =7
=>x+1=8
\(\Rightarrow\)\(A=x^{15}-8x^{14}+8x^{13}-8x^{12}+.......8x^2+8x-5\)
\(\Rightarrow x^{15}-\left(x+1\right)x^{14}+\left(x+1\right)x^{13}-\left(x+1\right)x^{12}+...\left(x+1\right)x^2\)
\(+\left(x+1\right)x^5\)
\(\Rightarrow x^{15}-x^{15}-x^{14}+x^{14}+x^{13}-x^{13}-x^{12}+...-x^3-x^2+x-5\)
\(\Rightarrow x-5\Leftrightarrow A=7-5=2\Rightarrow A=2\)
Vậy A=2 khi x=7
x=7
=>x+1=8
=> A= x^15 - 8x^14 + 8x^13 - 8x^12 +....- 8x^2 + 8x - 5
=x15-(x+1)x14+(x+1)x13-(x+1)x12+...-(x+1)x2+(x+1)x-5
=x15-x15-x14+x14+x13-x13-x12+...-x3-x2+x2+x-5
=x-5
=>A=7-5=2
Vậy A=2 khi x=7
\(B=x^{15}-8x^{14}+8x^{13}-8x^{12}+...+8x-5\)
\(=x^{15}-\left(x+1\right)x^{14}+\left(x+1\right)x^{13}-\left(x+1\right)x^{12}+...+\left(x+1\right)x-x+2\)
\(=x^{15}-x^{15}-x^{14}+x^{14}+x^{13}-x^{13}-x^{12}+...+x^2+x-x+2\)
\(=2\)
Ta có : \(x=7\Rightarrow\left\{{}\begin{matrix}8=x+1\\5=x-2\end{matrix}\right.\)
\(\Rightarrow B=x^{15}-8x^{14}+8x^{13}-8x^{12}+...-8x^2+8x-5\\ \\ =x^{15}-\left(x+1\right)x^{14}+...+\left(x+1\right)x-\left(x-2\right)\\ \\=x^{15}-x^{15}-x^{14}+...+x^2+x-x+2\\ \\=2\)
\(B=x^{15}-8x^{14}+8x^{13}-8x^{12}+...+8x-5\)
\(=x^{15}-\left(x+1\right)x^{14}+\left(x+1\right)x^{13}-\left(x+1\right)x^{12}+...+\left(x+1\right)x-x+2\)
\(=x^{15}-x^{15}-x^{14}+x^{14}+x^{13}-x^{13}-x^{12}+...+x^2+x-x+2\)
\(=2\)
thay x=7
ta có:7^15-8*7^14+887^13-8*7^12+...-8*7^2+8*7-2015
f(7)=7^15-8.7^14+8.7^13-8.7^12+...
-8.7^2+8.7-5=
= -7^14+8.7^13-8.7^12+...-8.7^2+8.7-5=
=7^13-8.7^12+...-8.7^2+8.7-5=
= -7^12+...-8.7^2+8.7-5=
=...= -7^2+8.7-5=7-5=2
Kết quả là 2
khó thế