Question

evaluate (2x+3/5y-4z) ^2​

Answer 1

Answer:

(2x+3)(2x+3) / (5y-4z)(5y-4z)

Step-by-step explanation:

(2x+3/5y-4z) ^2

(a+b)²=a²+2ab+b²

(a-b)²=a²-2ab+b²

(2x+3)²/(5y-4z)²

(2x)²+2(2x)(3) +(3)²/ (5y)²-2(5y)(4z)+(4z)²

4x²+12x+9 / 25y²-40yz+16z²

4x²+6x+6x+9 / 25y²-20yz-20yz+16z²

2x(2x+3)+3(2x+3) / 5y(5y-4z)-4z(5y-4z)

(2x+3)(2x+3) / (5y-4z)(5y-4z)