Explanation

To simplify the expression 5x(2x-5),

we can use the distributive property to multiply each term inside the parentheses by 5x.

First, distribute 5x to both terms inside the parentheses:

5x * 2x = 10x^2

5x * -5 = -25x

Now we have:

10x^2 - 25x

Explanation

Explanation

x - 6 = 0

x = 6 

Explanation

Step 1: Multiply the coefficient of the first term by the constant term i.e. (6 x 1) = 6

Step 2: Find the two factors of 6  such that whose sum equals to the coefficient of the middle term, i.e. -5.

Thus, the factors are -3 and -2 as,

-3 × (-2) = 6 (Product)

-3 + (-2) = -5 (Sum)

The polynomial  after splitting the middle term by using the two factors, -3 and -2 can be written as

x² - 3x - 2x + 6 = 0    

x(x-3) -2(x-3) = 0

(x-3)(x-2) = 0 

Explanation

A(b+c) =  (ab + ac)

Explanation

Explanation

 a² - b²  = (a+b) (a-b)

Explanation

3^x =243

3^x=3×3×3×3×3

3 ^x =3^5

Since bases are the same, we can equate the powers,

∴x=5

Explanation

Let total participant =X then X/4+ X/6+ X/8 + 33= X

LCM of 4,6,8 = 24 , multiply each by 24 

X/4*24+ X/6*24+ X/8 *24+ 33(24) = 24X

6x+4x+3x+792=24x

792=24x+13x

11x=792

x=792/11=72

Explanation

Let the son's age be x.

Then the father's age is 5x.

In 15 years, the son's age will be x+15

the father's age will be 5x+15.

According to the problem, in 15 years the father will be twice as old as his son:

                                              5x+15 = 2(x+15)

                                                      3x = 15

                                                           x = 5

Therefore, the son is currently 5 years old. 

The father's current age is 5 times that, which is 25 years old.

SH19-8-2023