Question

if p-q=4 and pq=45 find p cube-q cube

Answer 1

Answer:

$p - q = 4$

$p = 4 + q$

$pq = 45$

$put \: the \: value \: of \: p$

$(4 + q)q = 45$

$4q + {q}^{2} = 45$

${q}^{2} + 4q - 45$

${q}^{2} + 9q - 5q - 45 = 0$

$q(q + 9) - 5(q + 9)$

$(q + 9)(q - 5)$

Answer 2

Answer:604

Step-by-step explanation:if p and q are 9 and 5 because 9-5=4, 9×5=45

Cube of p which is 9^3 is 729

Cube of q which is 5^3 is 125

729-125=604