Question

Помогите срочно! надо раскрыть скобки и привести в стандартный вид: (p+3c)c-(3c+p)(c-p)

Answer 1

=pc+3c^2-(3c^2-3cp+pc-p^2)=pс+3с^2-3с^2+3cp-pc+p^2=p^2+2cp=p(p+2c)

Answer 2

Standardizing the Expression

To standardize the given expression and expand the brackets, we can follow these steps:

1. Expand the brackets: Apply the distributive property to expand the expression. 2. Combine like terms: Simplify the expression by combining like terms.

Let's proceed with these steps to standardize the given expression:

The given expression is: (p+3c)c - (3c+p)(c-p)

1. Expand the brackets: - (p+3c)c = pc + 3c^2 - (3c+p)(c-p) = 3c^2 - pc + pc - p^2 = 3c^2 - p^2

2. Combine like terms: - pc + 3c^2 - (3c^2 - p^2) = pc + 3c^2 - 3c^2 + p^2 = pc + p^2

So, the standardized form of the given expression is: pc + p^2.

Final Standardized Expression

The standardized form of the given expression after expanding the brackets is pc + p^2.