Question

find the value of 8a^3+27b^3 if 2a+3b=14 and ab=8​

Answer 1

Step-by-step explanation:

Given:-

$2a + 3b = 14 \: and \: \: ab = 8$

To find out:-

$8a {}^{3} + 27b {}^{3}$

$\huge\underline\mathfrak\blue{Solution..}$

$8a {}^{3} + 27b {}^{3} = (2a) {}^{3} + (3b) {}^{3} \\ = (2a + 3b) {}^{3} - 3 \times 2a \times 3b(2a + 3b) \\ = 14 {}^{3} - 18ab \times 14 \\ = 2744 - 18 \times 8 \times 14 \\ = 2744 - 2016 \\ = 728$

Follow me ⭐⭐⭐

Mark brainliest ⭐⭐⭐