Question

(4x-5y+6z)²+(4x+5y-6z)²​

Answer 1

Answer:

32x² + 50 y² + 72z² - 120yz

Step-by-step explanation:

(4x-5y+6z)²+(4x+5y-6z)²

= 16x² + 25 y²+ 36z²- 40xy - 60yz + 48zx + 16x² + 25 y²

+ 36z² + 40xy - 60yz - 48zx

= 32x² + 50 y² + 72z² - 120yz

Answer 2

Given : (4x-5y+6z)²+(4x+5y-6z)²​

To Find : Evaluate

Solution:

(4x-5y+6z)²+(4x+5y-6z)²​

= (4x- (5y-6z))²+(4x+(5y-6z))²​

(a - b)² = a² - 2ab +  b²

(a + b)² = a² + 2ab +  b²

a = 4x

b = 5y-6z

= (4x)² - 2(4x)(5y-6z)  + (5y - 6z)²  + (4x)²+ 2(4x)(5y-6z)  + (5y - 6z)²

= 2 (  (4x)²  + (5y - 6z)²)

= 2 ( 16x² + 25y² + 36z² - 60yz)

= 32x² + 50y² + 72z² - 120yz

(4x-5y+6z)²+(4x+5y-6z)²​ = 32x² + 50y² + 72z² - 120yz

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