Question

1) 5(3 - 5a)2 – 5(3a - 7)(3a + 7) - 80a2 + 150a - 300; 2) 3(a - 1)2 + 5(a + 1)(a - 1) -8a2 + 6a;3) (m - 1)2 – 4(m + 1)2 + 3m2 + 10m;4) 5(1 - y)2 – (3+ y)2 – 4y2 + 16y.​

Answer 1

Объяснение:

решила......................

Answer 2

Sure, let's simplify each of these expressions:

1. 5(3 - 5a)^2 - 5(3a - 7)(3a + 7) - 80a^2 + 150a - 300:

Expand and simplify the terms:

= 5(9 - 30a + 25a^2) - 5(9a^2 - 49) - 80a^2 + 150a - 300

Distribute the 5 in the first term:

= 45 - 150a + 125a^2 - 5(9a^2 - 49) - 80a^2 + 150a - 300

Distribute the -5 in the second term:

= 45 - 150a + 125a^2 - 45a^2 + 245 - 80a^2 + 150a - 300

Now, combine like terms:

= 125a^2 - 45a^2 - 80a^2 - 150a + 150a - 150 + 245 - 300

= 0a^2 + 0a - 150 + 245 - 300

= 0a^2 + 0a - 205

= -205

So, the simplified expression is -205.

2. 3(a - 1)^2 + 5(a + 1)(a - 1) - 8a^2 + 6a:

Expand and simplify the terms:

= 3(a^2 - 2a + 1) + 5(a^2 - 1^2) - 8a^2 + 6a

Distribute the 3 in the first term:

= 3a^2 - 6a + 3 + 5(a^2 - 1) - 8a^2 + 6a

Distribute the 5 in the second term:

= 3a^2 - 6a + 3 + 5a^2 - 5 - 8a^2 + 6a

Now, combine like terms:

= 3a^2 + 5a^2 - 8a^2 - 6a + 6a + 3 - 5

= 0a^2 + 0 - 5

= -5

So, the simplified expression is -5.

3. (m - 1)^2 - 4(m + 1)^2 + 3m^2 + 10m:

Expand and simplify the terms:

= (m^2 - 2m + 1) - 4(m^2 + 2m + 1) + 3m^2 + 10m

Distribute the -4 in the second term:

= m^2 - 2m + 1 - 4m^2 - 8m - 4 + 3m^2 + 10m

Now, combine like terms:

= m^2 - 4m^2 + 3m^2 - 2m - 8m + 10m + 1 - 4 - 4

= 0m^2 - 0m - 3

= -3

So, the simplified expression is -3.

4. 5(1 - y)^2 - (3 + y)^2 - 4y^2 + 16y:

Expand and simplify the terms:

= 5(1 - 2y + y^2) - (9 + 6y + y^2) - 4y^2 + 16y

Distribute the 5 in the first term:

= 5 - 10y + 5y^2 - (9 + 6y + y^2) - 4y^2 + 16y

Now, combine like terms:

= 5 - 10y + 5y^2 - 9 - 6y - y^2 - 4y^2 + 16y

= 5 - 9 - 10y - 6y + 16y - 10y - 5y^2 - y^2

= -4 - 10y + 16y - 10y - 6y - 6y^2

= -4 + 2y - 6y^2

= -6y^2 + 2y - 4

So, the simplified expression is -6y^2 + 2y - 4.