Mathematics
Factorise by taking out the common factors :
2x(a - b) + 3y(5a - 5b) + 4z(2b - 2a)
Factorisation
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Answer
Given,
2x(a - b) + 3y(5a - 5b) + 4z(2b - 2a)
= 2x(a - b) + 3y × 5(a - b) + 4z × -2(a - b)
= 2x(a - b) + 15y(a - b) - 8z(a - b)
= (a - b)(2x + 15y - 8z).
Hence, 2x(a - b) + 3y(5a - 5b) + 4z(2b - 2a) = (a - b)(2x + 15y - 8z).
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