Express left bracket, x, plus, 6, right bracket, squared(x+6) 2 as a trinomial in standard form.
Question
Express left bracket, x, plus, 6, right bracket, squared(x+6) 2 as a trinomial in standard form.
Solution
To express (x + 6)^2 as a trinomial in standard form, you need to follow these steps:
- Expand the squared term: (x + 6)^2 = (x + 6) * (x + 6)
- Use the distributive property (also known as the FOIL method) to multiply the terms: First terms: x * x = x^2 Outer terms: x * 6 = 6x Inner terms: 6 * x = 6x Last terms: 6 * 6 = 36
- Combine like terms: x^2 + 6x + 6x + 36 = x^2 + 12x + 36
So, (x + 6)^2 expressed as a trinomial in standard form is x^2 + 12x + 36.
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