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sergeinik [125]
3 years ago
11

What is the answer to [(x²+4x)-2]²

Mathematics
1 answer:
Rudik [331]3 years ago
6 0

Answer:

x^{4} + 8x³ + 12x² - 16x + 4

Step-by-step explanation:

Given

[(x² + 4x) - 2 ]² ← simplify contents of bracket

= (x² + 4x - 2)² = (x² + 4x - 2)(x² + 4x - 2)

Each term in the second factor is multiplied by each term in the first factor, that is

x²(x² + 4x - 2) + 4x(x² + 4x - 2) - 2(x² + 4x - 2) ← distribute parenthesis

= x^{4} + 4x³ - 2x² + 4x³ + 16x² - 8x - 2x² - 8x + 4 ← collect like terms

= x^{4} + 8x³ + 12x² - 16x + 4

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6 0
3 years ago
F(x)=3x^5+7x^3-8x^2-x+23
svet-max [94.6K]
Simplifying
f(x) = x2 + 8x + -3

Multiply f * x
fx = x2 + 8x + -3

Reorder the terms:
fx = -3 + 8x + x2

Solving
fx = -3 + 8x + x2

Solving for variable 'f'.

Move all terms containing f to the left, all other terms to the right.

Divide each side by 'x'.
f = -3x-1 + 8 + x

Simplifying
f = -3x-1 + 8 + x

Reorder the terms:
f = 8 + -3x-1 + x
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