Multiply: $[p^{2} + (q r)^{2}] [p^{2} - (q r)^{2}]$ and evaluate for $p = 1, q = 2, r = 3$ .

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Solution

$\begin{matrix} [P^{2} f {(q r^{2})}^{2}] [P^{2} - (q r^{2})] P = 1, q = 2, r = 3 [1^{2} + {(2 \times 3)}^{2}] [1^{2} - {(2 \times 3)}^{2}] (1 + 6^{2}) (1^{2} - 6^{2}) (1 + 36) (1 - 36) 37 \times - 35 = - 1295 A n s \end{matrix}$

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Similar questions

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

can be factorised as

Q. Angles Q and R of a

Δ P Q R

are

25^{\circ} a n d 65^{\circ}

. Write which of the following is true:

\begin{matrix} (a) P Q^{2} + Q R^{2} = R P^{2} (b) P Q^{2} + R P^{2} = Q R^{2} (c) R P^{2} + Q R^{2} = P Q^{2} \end{matrix}

Q. If

p = {log}_{2 a} a, q = {log}_{3 a} 2 a

and

r = {log}_{4 a} 3 a

, then find the value of

q r (2 - p)

Angles Q and R of a ΔPQR are 25° and 65°.

Write which of the following is true:

(i) PQ² + QR²= RP²

(ii) PQ² + RP²= QR²

(iii) RP² + QR²= PQ²

Question 6
Angles Q and R of a $Δ$ PQR are $25^{\circ}$ and $65^{\circ}$ .
Write which of the following is true:
(i) $P Q^{2} + Q R^{2} = R P^{2}$
(ii) $P Q^{2} + R P^{2} = Q R^{2}$
(iii) $R P^{2} + Q R^{2} = P Q^{2}$

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Multiply: [p2+(qr)2][p2−(qr)2] and evaluate for p=1,q=2,r=3.

[P2f(qr2)2][P2−(qr2)]P=1,q=2,r=3[12+(2×3)2][12−(2×3)2](1+62)(12−62)(1+36)(1−36)37×−35=−1295Ans

Multiply: $[p^{2} + (q r)^{2}] [p^{2} - (q r)^{2}]$ and evaluate for $p = 1, q = 2, r = 3$ .

$\begin{matrix} [P^{2} f {(q r^{2})}^{2}] [P^{2} - (q r^{2})] P = 1, q = 2, r = 3 [1^{2} + {(2 \times 3)}^{2}] [1^{2} - {(2 \times 3)}^{2}] (1 + 6^{2}) (1^{2} - 6^{2}) (1 + 36) (1 - 36) 37 \times - 35 = - 1295 A n s \end{matrix}$