Question

A) (3x^2+5y)^2 b)(4a^3-2b)^2

Answer 1

Ответ:

В прикреплённом файле

Объяснение:

Упрощаем по формуле a^2+2ab+b^2 и a^2-2ab+b^2

Answer 2

To expand the given expressions, you can use the formula for squaring a binomial, which is:

(a + b)^2 = a^2 + 2ab + b^2

Let's apply this formula to each of your expressions:

a) (3x^2 + 5y)^2

Using the formula, we get:

(3x^2 + 5y)^2 = (3x^2)^2 + 2(3x^2)(5y) + (5y)^2 = 9x^4 + 30x^2y + 25y^2

So, the expanded expression is:

9x^4 + 30x^2y + 25y^2

b) (4a^3 - 2b)^2

Using the formula, we get:

(4a^3 - 2b)^2 = (4a^3)^2 - 2(4a^3)(2b) + (2b)^2 = 16a^6 - 16a^3b + 4b^2

So, the expanded expression is:

16a^6 - 16a^3b + 4b^2