Question

16 (5x+4)² - 49(3x-2)²​

Answer 1

Answer:

-41x²+1228x+60

Step-by-step explanation:

16 (5x+4)² - 49(3x-2)²​

= 4²(5x+4)² - 7²(3x-2)²

= (4(5x+4))² - (7(3x-2))²

= (20x+16)² - (21x-14)²

= (20x+16+21x-14) (20x+16-21x+14)     (using a²-b² = (a+b)(a-b) formula)

= (41x+2)(30-x)

= 41x(30-x) + 2(30-x)

= 1230x - 41x² +60 - 2x

= -41x²+1228x+60