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Cos2(2X)−cos2(6x)=SIN(4X)sin(8x)cos2(2x)-cos2(6x)=sin(4x)sin(8x)



There are 3 different methods for FINDING square roots :
a. REPEATED subtraction method
b. prime factorisation method
c. LONG DIVISION method

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Here is your answer :-

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EUCLIDS division lemma

900 = 270 × 3 + 90

270 = 90 × 3 + 0

so 90 is the HCF of GIVEN two NUMBERS

Hey
Hope it HELPS you

You can SOLVE it USING SIMILAR TRIANGLES

Its ANSWER is 44 KM i HOPE that it is CORRECT

The VALUE of X in the FOLLOWING FREQUENCY is 25or14

When we GO BACK through the numbers it becomes smaller and at last after 0 all the numbers become negative like -1 -2 -3 -4 -5

A PUSH or a PULL of an OBJECT is CALLED FORCE

(- 8 ) ^2 / 7 X - 64 / 11
= 64 X - 64 / 77
= - 53. 194805
Hope this helps you.
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Xy/x+y is the TIME they will TAKE to do the WORK

Here we have ,
mina had 8 marbles
let Tina had = X no of marbles
THEREFORE, zuha has 2x marbles
according to given data
8 + x +2x = 29
3x = 21
x = 7
therefore Tina had 7 marbles and zuha had 2*7 = 14 no of marbles

X is inversly PROPORTIONAL to y^2
X1=48 when Y1=2 and X2=? when Y2=4.
X1/X2=Y1^2/Y2^2.
48/x=4^2/2^2.
X=12.

X is inversly PROPORTIONAL to Y^2
X1=452. Y1=12. X2=? Y2=18
X1/X2=Y1^2/Y2^2.
452/?=18^2/12^2
?=452*144/324
X2=200.89

If TWO vectors are represented in both magnitude & direction by the two adjacent sides of a polygon from the same POINT then their RESULTANT is represented in both direction & magnitude

(2,3),(2,13),(2,23),(5,5),(7,3),(7,13),(3,17)

Aij=2(1)-3(1). aij=2(1)-3(2)
=2-3. =2-6
=-1. =--4

You could draw all 7 pink balls and 11 yellow balls before FINALLY drawing a black ball, so 19 balls are required before a black & yellow COMBINATION is guaranteed.

Dividend = Divisor × Quotient + REMAINDER
Let the Dividend be "a" and Quotient be "B"
a = 169×b+91
a= 169b +91
So , 169b +91 denote a
Taking out 13 as common
a=13(13b+7)
Here , if we SEE it in FORM of the divisor rule
13 is divisor ,( 13b+7) as quotient and 0 as remainder.

30,60,90 these are the THREE NUMBERS which are DIVISIBLE by 2,3,5 LESS than 100

Hello dear,


We KNOW that,


So,

x = 0

we can CHECK,




HOPE it HELPS.

Ax+b=0
ax=-b
x=-b/a ANSWER

This is a.p
n=l-a / d + 1
=1500-700 / 40
=800 /40= 20 YRS

In a RACE of 200M c can beat B by 13M
for 350m
13/200 * 350
=91/4= 22.75 m

The SECOND person alone can do the work in 60 MINS

OK this is quite tricky,

when sunil was 4 yrs old, ANIL was half of his age that means he is 2 yrs old

when sunil is 80 his BROTHER anil will be 78 yrs old.

5x+6y=8 ...EQ 1
6x+6y=36 ....eq 2

by SUBTRACTING equation 1 and 2 we get..

-x=-28
x=28

putting value of x in eq 1 we get...

140+ 6y=8
6y=- 132
y=-22

A . NARENDRA modi
b. INDRA GANDHI

Hello dear,

(4a + 2b - 3c)² we can expand by using the identity =>
(a+b+c)² = a² + b² + c² + 2(AB + BC + ca)

So,
(4a + 2b - 3c)² = (4a)² + (2b)² + (-3c)² + 2 [ 4a*2b + 2b*(-3c) + (-3c)*4a ]
= 16a² + 4b² + 9c² + 2 [ 8AB - 6bc - 12ca]
= 16a² + 4b² + 9c² + 16ab - 12bc - 24ca

Now,
(5+a)² we can expand by using the identity
=> (a+b)² = a² + b² + 2ab
So,
(5+a)² =(5)² + (a)² + 2*5*a
= 25 + a² + 10a

Now,
(2a - 3b + 5)² we can expand by using the identity
=> (a+b+c)² = a² + b² + c² + 2(ab + bc + ca)

So,
(2a - 3b + 5)² = (2a)² + (-3b)² + (5)² + 2 [ 2a*(-3b) + (-3b)*5 + 5*2a ]
= 4a² + 9b² + 25 + 2 [ (-6AB) + (-15b) + 10a ]
= 4a² + 9b² + 25 - 12ab - 30b + 20a

Hope it helps.

The ORIGINAL PRICE is RS. 19758/-

Let the present AGE of Deepika is x, so the present age of Vikas become x+3 but 6 years ago ACCORDING to the QUESTION the required eqauation is 4(3+x-6)=x-6 after SOLVING this you get x= 2 so the Deepika age is 2 years and Vikas age become 5 years

this can HELP: HTTPS://math.stackexchange.com/questions/2019434/area-of-a-trapezoid-without-the-height

This picture which was WRITTEN by me in my BOOK

I HOPE it MAY help U

No, radius of a right CIRCULAR cone can't be more than or greater than its SLANT height.
Even if we increase the radius, there is a need to change the LENGTH of slant height.
By simply, we can say that
increase in radius is directly proportional to increase in slant height.

Hope this helps you
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Your ANSWER is 25×25=625

Equilateral triangle have all equal SIDE so perimeter is 3*8= 24

A RATIONAL number is anynumber that can be expressed as the quotient or FRACTION p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number.
An irrational number is a number that cannot be expressed as a fraction for any integers and . 
Irrational numbers have decimal expansions that NEITHER terminate nor BECOME periodic. ... Numbers of the form are irrational unless is the th power of an integer.