$\simplify{{a[0]*c[0]}x^2+{a[0]*d[0]+b[0]*c[0]}x+ {b[0]*d[0]}} =$ interpreted as

$\displaystyle{}$

Expected answer:interpreted as

$\displaystyle{\left ( x + 2 \right ) \left ( x + 3 \right )}$

$\simplify{{a[1]*c[1]}x^2+{a[1]*d[1]+b[1]*c[1]}x+ {b[1]*d[1]}} =$ interpreted as

$\displaystyle{}$

Expected answer:interpreted as

$\displaystyle{\left ( 4 x + 4 \right ) \left ( x + 3 \right )}$

$\simplify{{a[2]*c[2]}x^2+{a[2]*d[2]+b[2]*c[2]}x+ {b[2]*d[2]}} =$ interpreted as

$\displaystyle{}$

Expected answer:interpreted as

$\displaystyle{\left ( x - 3 \right ) \left ( x + 2 \right )}$

$\simplify{{a[3]*c[3]}x^2+{a[3]*d[3]+b[3]*c[3]}x+ {b[3]*d[3]}} =$ interpreted as

$\displaystyle{}$

Expected answer:interpreted as

$\displaystyle{\left ( x - 4 \right ) \left ( x - 3 \right )}$

$\simplify{{a[4]*c[4]}x^2+{a[4]*d[4]+b[4]*c[4]}x+ {b[4]*d[4]}} =$ interpreted as

$\displaystyle{}$

Expected answer:interpreted as

$\displaystyle{\left ( 4 x + 4 \right ) \left ( x + 4 \right )}$