Question

(iv) If a - b = 4 and ab = 45, then the
value of a^3 - b^3 is
a^3 means a raised to the power 3 and b^3
means b raised to the power 3​

Answer 1

Answer:

GIVEN

$a \: - b \: = 4$

$a \: - b \: = 4$$cubing \: on \: both \: sides$

$a \: - b \: = 4$$cubing \: on \: both \: sides$${a}^{3} - {b}^{3} - 3ab(a - b) = 64$

[tex]a \: - b \: = 4 sides {a}^{3} - {b}^{3} - 3ab(a - b) = 64. . but \: given \: that \: ab = 45

[tex] {a}^{3} - {b}^{3} = (3)(45)(4) {a}^{3} - {b}^{3} = (3)(45)(4)

[tex] {a}^{3} - {b}^{3} = 540

HOPE IT HELPS...