Identify the correct solution for the diagram given above:

p^{2} - q^{2} = (p + q) (p - q)

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p^{2} - q^{2} = (p + q)^{2}

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p^{2} - q^{2} = (p - q) (p - q)

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p^{2} + q^{2} = (p + q) (p - q)

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Solution

The correct option is B $p^{2} - q^{2} = (p + q) (p - q)$
Area of full square $=$ area of pink rectangle $+$ area of blue rectangle.
i.e., $p^{2} - q^{2} = p (p - q) + q (p - q)$
$p^{2} - q^{2} = (p + q) (p - q)$
So, $p^{2} - q^{2} = (p + q) (p - q)$ is solution of the given diagram.

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Similar questions

Show that: $p^{2} - q^{2} = (p + q) (p - q)$ .

Factorise: p^{2} + q^{2} + 2 (p q + q r + r p) .

\frac{p + q}{p - q}

P

Q

2 \times 2

(P + Q) (P - Q) = P^{2} - Q^{2}

$(q + p) \times (q - p) = ?$

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