Question 74

In the following question, state whether the statement is True (T) or False (F):

Factorised from of $p^{2} + 30 p + 216$ is (p + 18) (p - 12).

Open in App

Solution

False
We have,
$p^{2} + 30 p + 216 = p^{2} + (12 + 18) p + 216$
$= p^{2} + 12 p + 18 p + 216$ [by splitting the middle term]
$= p (p + 12) + 18 (p + 12)$
$= (p + 18) (p + 12)$

Suggest Corrections

Similar questions

Q. State whether the statement is true (T) or false (F).
Factorized form of

p^{2} + 30 p + 216

(p + 18) (p - 12)

Question 74

In the following question, state whether the given statements are true (T) or false (F).

$5^{0} = 5$

Question 73

In the following question, state whether the statement is True (T) or False (F):

$F a c t o r i s a t i o n o f - 3 a^{2} + 3 a b + 3 a c i s 3 a (- a - b - c)$ .

Question 74

In the following question, state whether the given statement is true (T) or false (F).
A whole number divided by another whole number greater than 1, never gives the quotient equal to the former.

Question 77

In the following question, state whether the statement is True (T) or False (F):

On dividing $\frac{p}{3}$ by $\frac{3}{p}$ , the quotient is 9 ?

Join BYJU'S Learning Program

Question 74 In the following question, state whether the statement is True (T) or False (F): Factorised from of p2+30p+216 is (p + 18) (p - 12).

False We have, p2+30p+216=p2+(12+18)p+216 =p2+12p+18p+216 [by splitting the middle term] =p(p+12)+18(p+12) =(p+18)(p+12)

Question 74

In the following question, state whether the statement is True (T) or False (F):

Factorised from of $p^{2} + 30 p + 216$ is (p + 18) (p - 12).

False
We have,
$p^{2} + 30 p + 216 = p^{2} + (12 + 18) p + 216$
$= p^{2} + 12 p + 18 p + 216$ [by splitting the middle term]
$= p (p + 12) + 18 (p + 12)$
$= (p + 18) (p + 12)$