Question

Applying suitable identities simplify the following (6x 5 - 3y 4 ) ( 6x 5 + 3y 4 )

Answer 1

Question:

Applying suitable identities simplify the following: (6x^5 - 3y^4 ) ( 6x^5 + 3y^4 )

Answer:

$( {6x}^{5} - {3y}^{4} ) ( {6x}^{5} + {3y}^{4} ) \\ using \: the \: identity \: \\ (a - b)(a + b) = ( {a}^{2} - {b}^{2} ) \\ we \: get \\ \: {( {6x}^{5}) }^{2} - { ({3y}^{4}) }^{2} \: \\ = \: {6x}^{(5 \times 2)} - {3y}^{(4 \times 2)} \\ = {6x}^{10} - {3y}^{8}$