Question

(6a-b)^2-(4a+2b)(9a-b) СРОЧНО

Answer 1

Ответ:

(6a-b)²-(4a+2b)(9a-b)=36a²-12ab+b²-(36a²+18ab-4ab-2b²)=36a²-12ab+b²-(36a²+14ab-2b²)=36a²-12ab+b²-36a²-14ab+2b²=-26ab+3b²

Answer 2

Ответ:

(6а - b)² - (4a + 2b)(9a - b) = 36a² - 12ab + b² - (36a² - 4ab + 18ab - 2b²) = 36a² - 12a + b² - 36a² + 4ab - 18ab + 2b² = - 12ab + 4ab - 18ab + b² + 2b² = - 26ab + 3b²

Объяснение:

Answer 3

To simplify the expression $(6a-b)^2 - (4a+2b)(9a-b)$, let's expand and simplify each term step by step:

1. Expand the square term $(6a-b)^2$: $(6a-b)^2 = (6a-b)(6a-b)$ Use the FOIL method (First, Outer, Inner, Last): $(6a-b)^2 = 36a^2 - 12ab + b^2$

2. Expand the product term $(4a+2b)(9a-b)$: $(4a+2b)(9a-b)$ Use the FOIL method again: $(4a+2b)(9a-b) = 36a^2 - 4ab + 18ab - 2b^2$ Combine like terms: $(4a+2b)(9a-b) = 36a^2 + 14ab - 2b^2$

3. Subtract the second expression from the first: $(36a^2 - 12ab + b^2) - (36a^2 + 14ab - 2b^2)$ Distribute the negative sign in the second expression: $36a^2 - 12ab + b^2 - 36a^2 - 14ab + 2b^2$ Combine like terms: $(-12ab - 14ab) + (b^2 + 2b^2) = -26ab + 3b^2$

So, the simplified expression is $-26ab + 3b^2$.