Question

2y²+ 5z² write down the squares​

Answer 1

Given :- 2y²+ 5z² write down the squares ?

Answer :-

we need to find square of (2y² + 5z²) .

Let,

→ a = (2y² + 5z²)

squaring both sides we get,

→ (a)² = (2y² + 5z²)²

now , using (m + n)² = m² + n² + 2mn in RHS we get,

→ a² = (2y²)² + (5z²)² + 2 * 2y² * 5z²

→ a² = (4y⁴ + 25z⁴ + 20y²z²)

therefore, we can conclude that,

→ (2y² + 5z²)² = (4y⁴ + 25z⁴ + 20y²z²) (Ans.)

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Answer 2

Given :    (2y²+5z²)​

To Find : Square

Solution:

Let say

X =  (2y²+5z²)​

Squaring both sides

=> X² =  (2y²+5z²)​²

Using the identity   (a + b)²  = a² + b² + 2ab

a = 2y²  , b=5z²

=> X² =(2y²)² +  (5z²)​² + 2(2y²)(5z²)​

=> X² = 4y⁴ +  25z⁴ + 20y²z²

Hence (2y²+5z²)​² =  4y⁴ +  25z⁴ + 20y²z²

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