Question

Please factorise: 100a^2-9b^2+24bc-16c^2

Answer 1

Answer:

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

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