Question

А) 3x(3x+7)-(3x+1)^2= б) (y-2(y+3)-(y-1)^2= в) 4(a+5)^2-(3b-5)(3b+5)= г) 4b(3b+6)-(3b-5)(3b+5)= д) (p-2a)(p+2a)-(p-a)(p^2+pa+a^2)=преобразовать в много член срочно!!!!! прошуСРОООЧНО

Answer 1

Д)=p2+p2a−2ap−4a2+(−p+a)(p2+pa+a2)=p2+p2a−2ap−4a2+(−p+a)(p2+pa+a2)=p2−4a2+(−p+a)(p2+pa+a2)=p2−4a2−p3−p2a−pa2+ap2+a2p+a3=p2−4a2−p3−p2a−pa2+ap2+a2p+a3=p2−4a2−p3−pa2+a2p+a3=p2−4a2−p3+a3=p2−4a2−p3+a3=−p3+a3−4a2+p2

А) =3x(3x+7)−(9x2+6x+1)= 9x2+21x−9x2−6x−1=9x2+21x−9x2−6x−1=

21x−6x−1=15x−1

В) =4(a2+10a+25)−(3b−5)(3b+5)= 4a2+40a+100+(−3b+5)(3b+5)= 4a2+40a+100−9b2−15b+15b+25=4a2+40a+100−9b2−15b+15b+25=

4a2+40a+125−9b2=4a2+40a+125−9b2=4a2−9b2+40a+125

Г)=12b2+24b+(−3b+5)(3b+5)=12b2+24b−9b2−15b+15b+25=12b2+24b−9b2−15b+15b+25=

3b2+24b+25

в задании Б непонятное что то со скобками.

Если уравнение выглядит так y−2(y+3)−(y−1)2=, то…y−2(y+3)−(y2−2y+1)= y−2y−6−y2+2y−1=y−2y−6−y2+2y−1=

y−7−y2=y−7−y2=−y2+y−7

Answer 2

а) 3x×(3x+7)-(3x+1)²=9x²+21x-(9x²+6x+1)=9x²-9x²+21x-6x-1=15x-1

б) (y-2)×(y+3)-(y-1)²=y²-y²+y+2y-6-1=3y-7

в) 4×(a+5)²-(3b-5)×(3b+5)= 4×(a²+10a+25)-(9b²-25)=4a²+40a+100-9b²+25=4a²-9b²+40a+125

г) 4b×(3b+6)-(3b-5)×(3b+5)=12b²+24b-(9b²-25)=3b²+24b+25

д) (p-2a)×(p+2a)-(p-a)×(p²+pa+a²)=p²-4a²-(p³-a³)=p²-4a²-p³+a³

Answer 3

А) Let's solve the expression step by step:

1. Distribute the multiplication: 3x(3x + 7) - (3x + 1)^2

Expanding the square: 3x(3x + 7) - (3x + 1)(3x + 1)

2. Multiply the terms inside parentheses: 9x^2 + 21x - (9x^2 + 6x + 6x + 1)

3. Combine like terms: 9x^2 + 21x - (9x^2 + 12x + 1)

4. Distribute the negative sign: 9x^2 + 21x - 9x^2 - 12x - 1

5. Combine like terms again: (9x^2 - 9x^2) + (21x - 12x) - 1

6. Simplify: 9x - 1

So the simplified expression is 9x - 1.

Б) Let's follow the same steps for the second expression:

1. Distribute the multiplication: (y - 2(y + 3)) - (y - 1)^2

Expanding the square: (y - 2(y + 3)) - (y - 1)(y - 1)

2. Multiply the terms inside parentheses: (y - 2y - 6) - (y^2 - y - y + 1)

3. Combine like terms: (y - 2y - 6) - (y^2 - 2y + 1)

4. Distribute the negative sign: y - 2y - 6 - y^2 + 2y - 1

5. Combine like terms: (y - 2y + 2y) - y^2 - 6 - 1

6. Simplify: -y^2 - 7

So the simplified expression is -y^2 - 7.

В) Now, let's solve the third expression:

1. Distribute the multiplication: 4(a + 5)^2 - (3b - 5)(3b + 5)

2. Expand the square: 4(a^2 + 10a + 25) - (3b * 3b + 3b * 5 - 5 * 3b - 5 * 5)

3. Multiply the terms inside parentheses: 4a^2 + 40a + 100 - (9b^2 - 25)

4. Distribute the negative sign: 4a^2 + 40a + 100 - 9b^2 + 25

5. Combine like terms: (4a^2) + (40a) + 100 - (9b^2) + 25

6. Simplify: 4a^2 + 40a - 9b^2 + 125

So the simplified expression is 4a^2 + 40a - 9b^2 + 125.

Г) Let's move on to the fourth expression:

1. Distribute the multiplication: 4b(3b + 6) - (3b - 5)(3b + 5)

2. Multiply the terms inside parentheses: 12b^2 + 24b - (9b^2 + 5 * 3b - 5 * 5)

3. Multiply the constants: 12b^2 + 24b - (9b^2 + 15b - 25)

4. Distribute the negative sign: 12b^2 + 24b - 9b^2 - 15b + 25

5. Combine like terms: (12b^2 - 9b^2) + (24b - 15b) + 25

6. Simplify: 3b^2 + 9b + 25

So the simplified expression is 3b^2 + 9b + 25.

Д) Finally, let's solve the fifth expression:

1. Distribute the multiplication: (p - 2a)(p + 2a) - (p - a)(p^2 + pa + a^2)

2. Multiply the terms inside the first parentheses: p^2 + 2ap - (p - a)(p^2 + pa + a^2)

3. Multiply the terms inside the second parentheses: p^2 + 2ap - (p^3 + p^2a + ap - p^2a - pa^2 - a^3)

4. Simplify: p^2 + 2ap - (p^3 + ap - pa^2 - a^3)

5. Distribute the negative sign: p^2 + 2ap - p^3 - ap + pa^2 + a^3

6. Combine like terms: (-p^3) + p^2 + (2ap - ap) + (pa^2) + a^3

7. Simplify: -p^3 + p^2 + ap^2 + a^3

So the simplified expression is -p^3 + p^2 + ap^2 + a^3.

Please double-check the expressions and make sure they are copied correctly, as they were a bit challenging to interpret due to missing symbols. If you have any further questions or need more assistance, feel free to ask!