Verified answer

Ответ:

1) c²-6²= c²- 36

2) 9a²b²- 16

3) (4x)²-(9y²)²= 16x²- 81y⁴

4) b⁶- a¹⁰

5) (7m³ - 9p⁴)(7m³ + 9p⁴)= (7m³)² - (9p⁴)²= 49m⁶ - 81p⁸

6) -(5xy+z)(5xy-z)= -((5xy)² - z²)= -(25x²y² - z²)= -25x²y²+ z²

Verified answer

Формула:

(a-b)(a+b) = a²-b²

Решение:

1) (c-6)(c+6) = c²-6² = c²-36

2) (3ab+4)(3ab-4) = (3ab)²-4² = 9a²b²-16

3) (4x-9y²)(4x+9y²) = (4x)²-(9y²) = 16x²-81y⁴

4) (a⁵+b³)(b³-a⁵) = (b³+a⁵)(b³-a⁵) = (b³)²-(a⁵)² = b⁶-a¹⁰

5) (7m³-9p⁴)(9p⁴+7m³) = (7m³-9p⁴)(7m³+9p⁴) = (7m³)²-(9p⁴)² = 49m⁶-81p⁸

6) (-5xy-z)(5xy-z) = -(5xy+z)(5xy-z) = -((5xy)²-z²) = -(25x²y²-z²) = -25x²y²+z² = z²-25x²y²