Question

1. 2y(11y-9)+0,5(4y-3)(4y+3) 2. (a-3b)(a+3b)+(2a-3b)²-4a(b-a)

Answer 1

Ответ:

Объяснение:че так сложна та !?  делаем так 1. 2y(11y-9)+0,5(4y-3)(4y+3)=22y²-18y+0,5(16y²-9)=22y²-18y+8y²-4,5=30y²-18y-4,5

2. (a-3b)(a+3b)+(2a-3b)²-4a(b-a)=a²-9b²+4a²-12ab+9b²-4ab+4a²=9a²-16ab

3. (x+6y)²-(6y+5x)(6y-5x)+x(12y-6x)=x²+12xy+36y²-36y²+25x²+12xy-6x²=20x²+24xy

Answer 2

Let's simplify the given expressions:

1. 2y(11y-9) + 0.5(4y-3)(4y+3)

First, let's expand the second term using the distributive property:

= 2y(11y - 9) + 0.5 * [(4y * 4y) + (4y * 3) + (-3 * 4y) + (-3 * 3)]

Next, we can simplify each term:

= 2y(11y - 9) + 0.5 * (16y^2 + 12y - 12y - 9)

Now, let's simplify further:

= 2y(11y - 9) + 0.5 * (16y^2 - 9)

Using the distributive property again:

= 22y^2 - 18y + 0.5 * 16y^2 - 0.5 * 9

= 22y^2 - 18y + 8y^2 - 4.5

Combining like terms:

= 30y^2 - 18y - 4.5

2. (a - 3b)(a + 3b) + (2a - 3b)^2 - 4a(b - a)

Let's simplify each term separately:

(a - 3b)(a + 3b) = a^2 - 9b^2

(2a - 3b)^2 = (2a - 3b)(2a - 3b) = 4a^2 - 12ab - 12ab + 9b^2 = 4a^2 - 24ab + 9b^2

4a(b - a) = 4ab - 4a^2

Now, let's combine all the simplified terms:

(a - 3b)(a + 3b) + (2a - 3b)^2 - 4a(b - a) = a^2 - 9b^2 + 4a^2 - 24ab + 9b^2 - 4ab + 4a^2

Combining like terms:

= a^2 + 4a^2 + 4a^2 - 9b^2 + 9b^2 - 24ab - 4ab

= 9a^2 - 28ab

Therefore, the simplified expression is 9a^2 - 28ab.