Question

(-3b+a)²= (-5a+6b)²= (5x-9y)²=

Answer 1

Ответ:

1) (-3b+a)^2 = а^2 - 6ab + 9b^2

2) (-5a+6b)^2 = 25a^2 - 60ab + 36b^2

3) (5x-9y)^2 = 25x^2 - 90xy + 81y^2

Комментарии к решению:

Применяем формул(-ы) квадрата суммы (разности).

Answer 2

Ответ:

a^2-6ab+9b

36b^2-6ab+25a^2

25x^2-90xy+81y^2

Answer 3

To solve each of these expressions, we need to expand the square of each binomial and simplify. Let's solve them one by one:

1. $(-3b + a)^2$: To expand the square of a binomial $(x + y)^2$, you can use the formula: $(x + y)^2 = x^2 + 2xy + y^2$. In this case, $x = -3b$ and $y = a$: $(-3b + a)^2 = (-3b)^2 + 2(-3b)(a) + a^2$ $= 9b^2 - 6ab + a^2$

2. $(-5a + 6b)^2$: Again, we use the formula $(x + y)^2 = x^2 + 2xy + y^2$, where $x = -5a$ and $y = 6b$: $(-5a + 6b)^2 = (-5a)^2 + 2(-5a)(6b) + (6b)^2$ $= 25a^2 - 60ab + 36b^2$

3. $(5x - 9y)^2$: Applying the formula $(x + y)^2 = x^2 + 2xy + y^2$, with $x = 5x$ and $y = -9y$: $(5x - 9y)^2 = (5x)^2 + 2(5x)(-9y) + (-9y)^2$ $= 25x^2 - 90xy + 81y^2$

So, the expanded forms are:

1. $(-3b + a)^2 = 9b^2 - 6ab + a^2$
2. $(-5a + 6b)^2 = 25a^2 - 60ab + 36b^2$
3. $(5x - 9y)^2 = 25x^2 - 90xy + 81y^2$

Please note that these expressions are already in their simplest forms, and no further simplification is possible without specific values for the variables.