Question

Exercise
Factorise each of the following algebraic expression on :
1. o? + 80 +16
2. p? -10p+25
4. 9a? + 30a + 25
5. 49t? – Tut +
4
8. (I + m)? - 4/m
7. 25m² + 30m +9
10. 04 +? +1
13. p. 9
14.2 + 4 +2-96
15. Factorise the following:
(a) 4a4 +1
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Answer 1

Answer:

1- O²+8O+16 = 0 ( factor= +4 , +4 )

O²+4O+4O+16=0

O(O+4) 4(O+16)=0

(O+4)(O+4)=0 , O = -4 , -4

2- P²-10p+25=0( factor= -5,-5)

p²-5p-5p+25=0

p(p-5)-5(p-5)=0

(p-5)(p-5)=0 , P = +5,+5

3- 9a²+30a+25=0 (factor=15,15)

9a²+15a+15a+25=0

3a(3a+5)5(3a+5)=0

(3a+5)(3a+5)=0 , a= - (5/3),-(5/3)

remaining questions are not clear. kindly repost.

Answer 2

Step-by-step explanation:

Let's take the LCM of 8 and 6 to find the no of girls and boys in the school. i.e =24 then total no.of students in the school is = 24+24=48

Now, total students residing in the hostel={(24×1/8)girls + (24×5/6)boys}= 3 girls + 20 boys . We can say that , 4 boys don't residing in the hostel out of 24 boys and

4 boys don't residing in the hostel out of 48 students. i. e = 4/48= 1/12 boys are not residing in the hostel out of total students in the school

Ans. 1/12.