Question

$(m + p + q) {}^{2} - (m - p - q) {}^{2}$
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Answer 1

Answer:

(m + p + q ) ² - ( m - p - q )²

= ( m + p + q + m - p - q ) ( m+ p + q - m + p + q )

Answer 2

ANSWER:

(m + p + q)² - (m - p - q)² = 4 mq + 4 mp

GIVEN:

(m + p + q)² - (m - p - q)²

TO FIND:

(m + p + q)² - (m - p - q)²

EXPLANATION:

(m + p + q)² = (m + p + q)(m + p + q)

m² + mp + mq + pm + p² + pq + mq + qp + q²

m² + p² + q² + 2mp + 2mq + 2pq

(m - p - q)² = (m - p - q) (m - p - q)

m² - mp - mq - mp + p² + pq - mq + pq + q²

m² + p² + q² - 2mq - 2mp + 2pq

Multiply with minus sign

- m² - p² - q² + 2mq + 2mp - 2pq

m² + p² + q² + 2mp + 2mq + 2pq - m² - p² - q² + 2mq + 2mp - 2pq

ADDING THE TWO TERMS WHICH ARE EXPANDED.

m² + p² + q² + 2mp + 2mq + 2pq - m² - p² - q² + 2mq + 2mp - 2pq

4 mq + 4 mp

(m + p + q)² - (m - p - q)² = 4 mq + 4 mp