Question

(4a+3)(16a2−12a+9)−a(8a−5)(8a+5)

Answer 1

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Answer 2

To simplify the given expression, let's first expand each term and then combine like terms:

(4a + 3)(16a^2 - 12a + 9) - a(8a - 5)(8a + 5)

Step 1: Expand the first bracket (4a + 3)(16a^2 - 12a + 9)

= 4a * 16a^2 + 4a * (-12a) + 4a * 9 + 3 * 16a^2 + 3 * (-12a) + 3 * 9

= 64a^3 - 48a^2 + 36a + 48a^2 - 36a + 27

Step 2: Simplify the terms in the first bracket:

= 64a^3 + 36a + 27

Step 3: Expand the second bracket -a(8a - 5)(8a + 5)

= -a * (64a^2 - 25)

= -64a^3 + 25a

Now, the simplified expression becomes:

64a^3 + 36a + 27 - (-64a^3 + 25a)

Now, combine like terms:

= 64a^3 + 36a + 27 + 64a^3 - 25a

= (64a^3 + 64a^3) + (36a - 25a) + 27

= 128a^3 + 11a + 27

So, the simplified expression is 128a^3 + 11a + 27.