Question

the expansion of (1/2x+2/3y)²​ full explanation

Answer 1

Answer:

so (1/2x+2/3y)² = 1/4 x² + 4/9 y²+ 2/3 xy

Step-by-step explanation:

we know that

we know that (a+b)² = (a) ² + (b)²+ 2(a)(b)

(1/2x+2/3y)²

= (1/2x)² + (2/3y)²+ 2(1/2x)(2/3y)

= 1/4x² + 4/9y²+ 2/3xy

so (1/2x+2/3y)² = 1/4 x² + 4/9 y²+ 2/3 xy

Answer 2

$( \frac{1}{2} x + \frac{2}{3} y) {}^{2} \\ \\ = > ( \frac{1}{2} x) {}^{2} + ( \frac{2}{3} y ) {}^{2} + 2 \times \frac{1}{2} x \times \frac{2}{3} y \\ \\ = > \frac{1}{4} x {}^{2} + \frac{4}{9} y {}^{2} + \frac{2}{3} xy$