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 About the author Samantha
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 Reply
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