Respuesta :
Step 1: Substitute the expression for l, w and h in the given volume formula.
[tex] l=\frac{5}{2x+8} ;w=\frac{12}{x}; h=\frac{x+4}{4} \\ \\ V=l*w*h\\ \\V=\frac{5}{2x+8} *\frac{12}{x}*\frac{x+4}{4} [/tex]
Step 2: Simplify the expression by multiplying the fraction.
When multiplying fractions we need to multiply the numerator with numerator and denominator with denominator.
[tex] V=\frac{5}{2x+8} *\frac{12}{x} *\frac{x+4}{4} =\frac{5\cdot12\cdot(x+4)}{(2x+8)\cdot x\cdot4} [/tex]
Factor 2x+8 in the denominator
[tex] V=\frac{60(x+4)}{4\cdot x\cdot 2(x+4)} [/tex]
Cancel the common factors in the numerator and denominator.
[tex] V=\frac{15}{2x} [/tex]
