Question

А) 3x(8-x)+(3x-5)(4+x) б ) 9x2-(3x+1)2

Answer 1

Шөл

Тұщы

Өнзпзпхр хтзррщозохлһохггхг

Answer 2

Let's simplify each expression step-by-step:

A) 3x(8-x) + (3x-5)(4+x)

Step 1: Expand the first term - 3x(8-x) = 3x * 8 - 3x * x = 24x - 3x^2

Step 2: Expand the second term - (3x-5)(4+x) = 3x * 4 + 3x * x - 5 * 4 - 5 * x = 12x + 3x^2 - 20 - 5x = 3x^2 + 7x - 20

Step 3: Combine the expanded terms = (24x - 3x^2) + (3x^2 + 7x - 20) = 24x + 7x - 20

Step 4: Simplify the expression = 31x - 20

B) 9x^2 - (3x+1)^2

Step 1: Expand the square - (3x+1)^2 = (3x + 1) * (3x + 1) = 3x * 3x + 3x * 1 + 1 * 3x + 1 * 1 = 9x^2 + 3x + 3x + 1 = 9x^2 + 6x + 1

Step 2: Subtract the expanded square from 9x^2 = 9x^2 - (9x^2 + 6x + 1) = 9x^2 - 9x^2 - 6x - 1 = -6x - 1

So, the simplified expressions are: A) 31x - 20 B) -6x - 1