Factorize the given expression completely: 343x³y + 512y⁴

Asked by archanakakade90 | 1st Mar, 2021, 11:35: PM

Expert Answer:

begin mathsize 16px style 343 straight x cubed straight y space plus space 512 straight y to the power of 4
equals straight y open parentheses 343 straight x cubed plus 512 straight y cubed close parentheses
equals space straight y open square brackets open parentheses 7 straight x close parentheses to the power of 3 space space end exponent plus open parentheses 8 straight y close parentheses to the power of 3 space space end exponent close square brackets
equals straight y open parentheses 7 straight x plus 8 straight y close parentheses open parentheses 49 straight x squared minus 56 xy plus 64 straight y squared close parentheses space... straight a cubed plus straight b cubed equals open parentheses straight a plus straight b close parentheses open parentheses straight a squared minus ab plus straight b squared close parentheses end style

Answered by Yasmeen Khan | 2nd Mar, 2021, 03:32: PM