Question

Factorise the following:
(a) 4a² + 9b2 + 16c2 + 12ab - 24bc - 16ac
(b) 8x? - y3 – 12x’y + 6xy?​

Answer 1

a) Given:

4a

2

+9b

2

+16c

2

+12ab−24bc−16ac

Use the formula:

(a+b+c)

2

=a

2

+b

2

+c

2

+2ab+2bc+2ca

Simplify the equation.

4a

2

+9b

2

+16c

2

+12ab−24bc−16ac=(2a)

2

+(3b)

2

+(−4c)

2

+2×2×3ab+2×(−4)×3bc+2×(−4)×2ac

=(2a+3b−4c)

2

Thus, the factor of the equation is (2a+3b−4c) ²

Answer 2

Answer:

(a) -(2a+3b+4c)²

Step-by-step explanation:

(a) 4a²+9b²+16c²+12ab-24bc-16ac

=(2a)²+(3b)²+(4c)²+2×2×3ab+2×(-4)×3bc+2×(-4)×2ac

=(2a+3b+4c)²

(b) 8x? - y3 – 12x’y + 6xy

Sorry, but I don't understand your question

please like and follow and mark as brainiest answer.