Question

Упростите выражение, используя формулы сокращенного умножения: (3 + 7у)(7у – 3) – (5у – 1)2 .

Answer 1

Объяснение:

( 49y²-9)-(10y-2)= 49y²-9-10y+2= 49y²-10y-7

Answer 2

Ответ:

Смотри решение на фото...

Answer 3

Simplifying the Expression Using Shortened Multiplication Formulas:

To simplify the given expression using shortened multiplication formulas, we can follow these steps:

1. Expand the expression. 2. Combine like terms. 3. Simplify the resulting expression.

The given expression is: (3 + 7u)(7u – 3) – (5u – 1)2.

Step 1: Expand the Expression

To expand the expression, we use the distributive property of multiplication over addition and subtraction.

The expanded expression is: 3(7u) + 7u(7u) - 3(7u) - 3(3) - 5u(2) + 1(2).

Step 2: Combine Like Terms

Next, we combine the like terms in the expanded expression: - 21u + 49u^2 - 21u - 9 - 10u + 2.

Step 3: Simplify the Resulting Expression

Finally, we simplify the expression by combining the like terms: - 49u^2 - 10u - 7.

Therefore, the simplified expression using shortened multiplication formulas is: 49u^2 - 10u - 7.

This simplification is based on the standard rules of algebraic manipulation and the distributive property of multiplication over addition and subtraction.