Question

find the product (2a - 3b)(4a^2 +12ab +9b^2)​

Answer 1

Answer:

(2a-3b){(2a)^2+4a×3b+(3b)^2}

by multiplying this you will get

a^3-b^3

u can verify by multiplying it

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Answer 2

❒Solution

$(2a - 3b)(4a {}^{2} + 12ab + 9b {}^{2} ) \\ = (2a - 3b)((2a) {}^{2} + 2.2a.3b + (3b) {}^{2} ) \\ = (2a - 3b)(2a + 3b)(2a + 3b) \\ = ( 4a {}^{2} - 9b {}^{2} )(2a +3b) \\ = 4a {}^{2} (2a + 3b) - 9b {}^{2} (2a + 3b) \\ = 8a {}^{3} + 12a {}^{2} b - 18ab {}^{2} - 9b {}^{3}$