25÷16a^2-ab+4÷25b^2
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Answer:
(5÷4a-2÷5b)^2 = ((5/4)a-(2/5)b)^2
Step-by-step explanation:
25÷16a^2-ab+4÷25b^2
= (25/16)a^2 - ab + (4/25)b^2
= ((5/4)a)^2 - ab + ((2/5)b)^2
= ((5/4)a)^2 - 2*(5/4)*(2/5)*ab + ((2/5)b)^2
" Since a^2-2ab+b^2 = (a-b)^2 "
= ((5/4)a-(2/5)b)^2 OR (5÷4a-2÷5b)^2
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