Question

3) (7a6 + 12a)2 (15x – x3)2.​

Answer 1

Объяснение:

7аx6+12а) х2 42а + 12а) х 2 54 а х 2= 108a

Answer 2

Ответ:

В этом уравнении ответ получится 2592 a x

Answer 3

To simplify the expression (7a^6 + 12a)^2 * (15x - x^3)^2, we'll first expand both the squared binomials and then multiply the two resulting expressions together.

Step 1: Expand the first squared binomial (7a^6 + 12a)^2: (7a^6 + 12a)^2 = (7a^6 + 12a) * (7a^6 + 12a)

To expand this, we'll use the distributive property: (7a^6 + 12a) * (7a^6 + 12a) = 7a^6 * 7a^6 + 7a^6 * 12a + 12a * 7a^6 + 12a * 12a

Simplifying further: = 49a^12 + 84a^7 + 84a^7 + 144a^2 = 49a^12 + 168a^7 + 144a^2

Step 2: Expand the second squared binomial (15x - x^3)^2: (15x - x^3)^2 = (15x - x^3) * (15x - x^3)

Expanding using the distributive property: (15x - x^3) * (15x - x^3) = 15x * 15x + 15x * (-x^3) + (-x^3) * 15x + (-x^3) * (-x^3)

Simplifying further: = 225x^2 - 15x^4 - 15x^4 + x^6 = 225x^2 - 30x^4 + x^6

Step 3: Multiply the two expanded expressions together: (49a^12 + 168a^7 + 144a^2) * (225x^2 - 30x^4 + x^6)

To multiply, we use the distributive property again: = 49a^12 * 225x^2 + 49a^12 * (-30x^4) + 49a^12 * x^6

• 168a^7 * 225x^2 + 168a^7 * (-30x^4) + 168a^7 * x^6
• 144a^2 * 225x^2 + 144a^2 * (-30x^4) + 144a^2 * x^6

Simplifying further: = 11025a^12x^2 - 1470a^12x^4 + 49a^12x^6

• 37800a^7x^2 - 5040a^7x^4 + 168a^7x^6
• 32400a^2x^2 - 4320a^2x^4 + 144a^2x^6

The simplified expression is: 11025a^12x^2 - 1470a^12x^4 + 49a^12x^6 + 37800a^7x^2 - 5040a^7x^4 + 168a^7x^6 + 32400a^2x^2 - 4320a^2x^4 + 144a^2x^6