Question

A)(a²+2)² б)(2b³-4)² в)(-2x-x²)²​

Answer 1

Ответ:

а) (а²+2)² = а⁴ + 4а² + 4

б) (2b³-4)² = 4b⁶ - 16b³ + 16

в) (-2x-x²)² = 4x² + 4x³ + x⁴

Объяснение:

Answer 2

To simplify the given expressions, you can expand the square of each expression. Here's how you can do it:

A) (a² + 2)²

To expand this expression, you'll apply the formula for squaring a binomial, which is (a + b)² = a² + 2ab + b².

In this case, a = a² and b = 2:

(a² + 2)² = (a²)² + 2 * (a²) * 2 + (2)² = a^4 + 4a² + 4

So, the simplified expression is a^4 + 4a² + 4.

B) (2b³ - 4)²

Again, apply the formula for squaring a binomial, where a = 2b³ and b = -4:

(2b³ - 4)² = (2b³)² + 2 * (2b³) * (-4) + (-4)² = 4b^6 - 16b³ + 16

The simplified expression is 4b^6 - 16b³ + 16.

C) (-2x - x²)²

Once more, apply the formula for squaring a binomial, where a = -2x and b = -x²:

(-2x - x²)² = (-2x)² + 2 * (-2x) * (-x²) + (-x²)² = 4x² + 4x³ + x^4

The simplified expression is 4x² + 4x³ + x^4.