Question

3a^2-24abc-60b^2c^2

Answer 1

Answer:

$\red {3a^{2} - 24abc - 60b^{2}c^{2}} \green {=3 (a+2bc)(a-10bc)}$

Step-by-step explanation:

3a² - 24abc - 60b²c²

= 3(a² - 8abc - 20b²c²)

= 3( a² + 2abc - 10abc - 20b²c²)

= 3[ a(a+2bc) - 10bc( a + 2bc)]

= 3 (a+2bc)(a-10bc)

Therefore.,

$\red {3a^{2} - 24abc - 60b^{2}c^{2}} \green {=3 (a+2bc)(a-10bc)}$

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Answer 2

Answer:

$(a + 2bc)(3a - 30bc)$

We solved the following expression using identities.

(Middle Term Splitting)

Step-by-step explanation:

$3 {a}^{2} + 6abc - 30abc - 60{b}^{2} {c}^{2}$

$3a(a + 2bc) - 30bc(a + 2bc)$

$(a + 2bc)(3a - 30bc)$