Verify: (7p - 13q)² + 364pq = (7p + 13q)²

Solution:

Given, (7p - 13q)² + 364pq = (7p + 13q)²

L.H.S = (7p - 13q)² + 364pq

= 49p² - 182pq + 169q² + 364pq

= 49p² + 182pq + 169q²

= (7p + 13q)²

= R.H.S

L.H.S. = R.H.S.

✦ Try This: (7x + 12y)² - 336xy = (7x - 12y)²

Given, (7x + 12y)² - 336xy = (7x - 12y)²

L.H.S = (7x + 12y)² - 336xy

= 49x² + 168xy + 144y² - 336xy

= 49x² - 168xy + 144y²

=(7x - 12y)²

= R.H.S

L.H.S. = R.H.S.

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 9

NCERT Exemplar Class 8 Maths Chapter 7 Problem 113(ix)

Verify: (7p - 13q)² + 364pq = (7p + 13q)²

Summary:

(7p - 13q)² + 364pq = (7p + 13q)² is true

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