1f\frac{2x+7}{x+2}=\frac{4x+3}{2x-7} find the value of x^{3}+x^{2}+x+1 .
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2᙭+7 4᙭+3
────=───── ꜰɪɴᴅ ᴛʜᴇ ᴠᴀʟᴜᴇ ᴏꜰ x³+x²+x+1
᙭+2 2᙭-7
SOLn:-
────
=> (２ｘ+７) (2x-7)= (x+2) (4x+3)
ｆｏｒｍｕｌａ.
(a+b) (a-b)= a²-b²
SO,
=> 4x²-7²= 4x²+3x+12x+6
=>4x²-49= 4x²+15x+6
=>-49-6=15x. (4x²=4x² cancelled)
=> -55/15= x
=> -11/3 = x
Ｎｏｗ,
ｘ³+x²+x+1.
ᴘᴜᴛɴɪɴɢ "x" ᴠᴀʟᴜᴇ
=>(-11/3)³+(-11/3)²+(-11/3)+3
=> -1331/27 + 121/9 - 11/3 + 3
=>-1331+363-99+81/27
=> -983/27
=> -36.407
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