Question

А) (3a+c)×2a б) (8х-у)×3ху в) (2а+3)×4а г) (3х-у)×2ху

Answer 1

а)

(3a+c)×2a разделить 2а через скобки

6a^2+2ac

б)

(8х-у)×3ху

24x^2y-3xy^2

в)

(2а+3)×4а

8a^2+12a

г)

(3х-у)×2ху

6x^3y-2x^2y^2

Answer 2

To simplify the given expressions, let's expand them step by step:

а) (3a + c) × 2a To expand this expression, distribute the 2a to each term inside the parentheses: (3a + c) × 2a = 3a × 2a + c × 2a = 6a^2 + 2ac

б) (8х - у) × 3ху To expand this expression, distribute the 3ху to each term inside the parentheses: (8х - у) × 3ху = 8х × 3ху - у × 3ху = 24х^2у - 3ху^2

в) (2а + 3) × 4а To expand this expression, distribute the 4а to each term inside the parentheses: (2а + 3) × 4а = 2а × 4а + 3 × 4а = 8а^2 + 12а

г) (3х - у) × 2ху To expand this expression, distribute the 2ху to each term inside the parentheses: (3х - у) × 2ху = 3х × 2ху - у × 2ху = 6х^2у - 2ху^2

So, the expanded forms of the given expressions are:

а) 6a^2 + 2ac б) 24х^2у - 3ху^2 в) 8а^2 + 12а г) 6х^2у - 2ху^2