Question

25 the like terms in the following 9X by, 2x, 5 y square 9 - 9 x square - 6 square, 7 x y square + 18 y square

Answer 1

Answer:

Step-by-step explanation:

Given : 9x² + 16y² + 25z² + 24xy - 40yz - 30zx

To Find : Factorize

Solution:

9x² + 16y² + 25z² + 24xy - 40yz - 30zx

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

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

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

(a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ac

a = 3x

b = 4y

c = - 5z

= ( 3x + 4y - 5z)²

9x² + 16y² + 25z² + 24xy - 40yz - 30zx =  ( 3x + 4y - 5z)²