Question

Verify (7p – 13q)² + 364pq = (7p + 13q)²​

Answer 1

Step-by-step explanation:

LHS

( 7p - 13q ) ^2 + 364pq

49p^2 + 169q^2 - 182pq + 364pq

49p^2 + 169q^2 + 182pq ---------------------(1)

RHS

( 7p + 13q )^2

49p^2 + 169q^2 + 182pq ---------------------(2)

(1) = (2)

Therefore, LHS = RHS

Hence verified

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Answer 2

The equation (7p – 13q)² + 364pq = (7p + 13q)² is verified.

Given : The given algebraic equation is, (7p – 13q)² + 364pq = (7p + 13q)²

To find : Verification of the given algebraic equation.

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to verify the given algebraic equation)

Here, we will be separately calculate the values of the LHS and RHS of the given equation. If the values comes out to be equal, then the equation will be verified.

LHS :

= (7p – 13q)² + 364pq

= [(7p)² - (2×7p×13q) + (13q)²] + 364pq

= 49p² - 182pq + 169q² + 364pq

= 49p² + 182pq + 169q²

RHS :

= (7p + 13q)²

= (7p)² + (2×7p×13q) + (13q)²

= 49p² + 182pq + 169q²

The values of LHS and RHS are equal.

Hence, the equation is verified.