Question

Раскрыть скобки (2а+b+3c-4d)^2

Answer 1

I hope this helps you

Answer 2

To expand the expression (2a + b + 3c - 4d)^2, you can use the formula for squaring a binomial:

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

In this case, our binomial is (2a + b + 3c - 4d). Let's apply the formula:

(2a + b + 3c - 4d)^2 = (2a)^2 + 2(2a)(b) + (b)^2 + 2(2a)(3c) + 2(2a)(-4d) + 2(b)(3c) + 2(b)(-4d) + (3c)^2 + 2(3c)(-4d) + (-4d)^2

Now, simplify each term:

(2a)^2 = 4a^2 2(2a)(b) = 4ab (b)^2 = b^2 2(2a)(3c) = 12ac 2(2a)(-4d) = -16ad 2(b)(3c) = 6bc 2(b)(-4d) = -8bd (3c)^2 = 9c^2 2(3c)(-4d) = -24cd (-4d)^2 = 16d^2

Putting all the simplified terms together, we get:

(2a + b + 3c - 4d)^2 = 4a^2 + 4ab + b^2 + 12ac - 16ad + 6bc - 8bd + 9c^2 - 24cd + 16d^2

This is the expanded form of the expression (2a + b + 3c - 4d)^2.