Question

find the value of (3a+4c)^2 by using (a+b)^2​

Answer 1

Step-by-step explanation:

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Answer 2

The value of (3a+ 4c)²= 9a²+16c²+ 24ac

Given:

The expression (3a+ 4c)².

To Find:

The value of (3a+ 4c)² using (a+ b)²

Solution:

We know that (a+ b)²= a²+b²+2ab    _(1)

Comparing  (3a+4c)² with (a+ b)²

the value of a= 3a

the value of b= 4c

Putting value of a and b in equation (1)

(3a+ 4c)²= (3a)²+ (4c)²+ 2(3a)(4c)

(3a+ 4c)²= 3²a²+ 4²c²+ 6a(4c)

(3a+ 4c)²= 9a²+ 16c²+ 24ac

Hence, the value of (3a+ 4c)² is 9a²+ 16c²+ 24ac.

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