Question

(3x-2)²=(4x+2)³ using with (a+b)², (a+b)³​

Answer 1

$\huge\tt\underline\red{Ans}\underline {w}\underline\purple{er}\underline{:}\orange {:}$

$\huge \underbrace \mathfrak \red{\bigstar Explanation}$

$We \: know \: that\: \\ \:\boxed {\blue { (a+b)² = a²+b²+2ab }} \\\:\:\: \:\:\: \:\:\:\: \:\:\: \:\:\: \:\:\: \:\:\: \:\:\: \:\:\: \:\:\: AND \\\:\boxed {\orange {(a+b)³ = a³+b³+3a²b+3ab² }}$

$\tt\large {Let's \: Solve }$

$\tt \to (3x)²+(-2)²+2(3x)(-2)=(4x)³+(2)³+3(4x)²(2)+3(4x)(2)²$

$\tt \to 9x²+4-12x=64x³+8+96x²+48x$

$\tt \to 9x²+4-12x=64x³+8+96x²+48x$

$\tt \to x²-96x²-12x-48x-64x³=8-4$

$\tt \to -95x²-60x -64x³ = 4$