Question

Выполни умножение: 1) (а + 1)(а +1) 2) (2 + у)(у + 3) 3) (2a + b)(a +2b) 4) (5m + 7n)(2n + 4m) 5) (2x – 3y)(3x +5y) 6) (-a –b)(2a – 3b) 7) (2x2 – y2)(y2 + 2x3) 8) (2а+3b)(4a2-6ab+9b2) Cрочно

Answer 1

Ответ:

1)-(2×3)×a×b=6ab

2)-(3×2)× a×b=6ab

3)- 3b^5

4)-2a^3

Answer 2

1) (а + 1)(а + 1) To multiply these expressions, we can use the distributive property. We multiply each term in the first expression by each term in the second expression and then combine like terms.

Expanding the expression: (а + 1)(а + 1) = а * а + а * 1 + 1 * а + 1 * 1

Simplifying: а * а + а + а + 1 = а^2 + 2а + 1

2) (2 + у)(у + 3) Using the same method as above, we can expand this expression:

Expanding the expression: (2 + у)(у + 3) = 2 * у + 2 * 3 + у * у + у * 3

Simplifying: 2у + 6 + у^2 + 3у = у^2 + 5у + 6

3) (2а + b)(a + 2b) Expanding the expression: (2а + b)(a + 2b) = 2а * a + 2а * 2b + b * a + b * 2b

Simplifying: 2а^2 + 4аb + ab + 2b^2 = 2а^2 + 5аb + 2b^2

4) (5m + 7n)(2n + 4m) Expanding the expression: (5m + 7n)(2n + 4m) = 5m * 2n + 5m * 4m + 7n * 2n + 7n * 4m

Simplifying: 10mn + 20m^2 + 14n^2 + 28mn = 38mn + 20m^2 + 14n^2

5) (2x – 3y)(3x + 5y) Expanding the expression: (2x – 3y)(3x + 5y) = 2x * 3x + 2x * 5y – 3y * 3x – 3y * 5y

Simplifying: 6x^2 + 10xy – 9xy – 15y^2 = 6x^2 + xy – 15y^2

6) (-a – b)(2a – 3b) Expanding the expression: (-a – b)(2a – 3b) = -a * 2a – a * 3b – b * 2a – b * 3b

Simplifying: -2a^2 – 3ab – 2ab + 3b^2 = -2a^2 – 5ab + 3b^2

7) (2x^2 – y^2)(y^2 + 2x^3) Expanding the expression: (2x^2 – y^2)(y^2 + 2x^3) = 2x^2 * y^2 + 2x^2 * 2x^3 – y^2 * y^2 – y^2 * 2x^3

Simplifying: 2x^2y^2 + 4x^5 – y^4 – 2x^3y^2

8) (2а + 3b)(4a^2 – 6ab + 9b^2) Expanding the expression: (2а + 3b)(4a^2 – 6ab + 9b^2) = 2а * 4a^2 + 2а * -6ab + 2а * 9b^2 + 3b * 4a^2 + 3b * -6ab + 3b * 9b^2

Simplifying: 8a^3 – 12a^2b + 18ab^2 + 12a^2b – 18ab^2 + 27b^3 = 8a^3 + 27b^3

Please note that the above calculations were performed using the distributive property and simplification rules.