Question

( 4y+5z)^2 find by identify

Answer 1

Answer:

Step-by-step explanation:

Hi there !!

Given,

to find the value of

( 3x - 4y + 5z ) ²

This can be solved using an algebraic identity ie,

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

( 3x - 4y + 5z ) ² can be written as

(3x + (-4y) + 5z)²

where,

a = 3x

b = -4y

c = 5z

So,

(3x + (-4y) + 5z)²

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

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

Answer 2

Answer:

16y² + 25z² + 40yz

Step-by-step explanation:

( 4y + 5z ) ² = ( 4y )² + ( 5z )² + 2 ( 4y ) ( 5z )

( 4y + 5z ) ² = 16y² + 25z² + 40yz

Final answer