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factorising
Expanding Brackets
lcm(9a, 15a²) = 45a² Factorising: 9a = 3² × a 15a² = 3 × 5 × a² lcm = 3² × 5 × a² = 45a²
What does the question ask? Does it ask you to simplify the above, or is it part of a larger question where values for t, x and h are given? Is it definitely Tx rather than tx? If asked to simplify it, there are numerous ways to do so (but none really make it 'simpler' as such, so it is a bit of a strange one). For example, by factorising: tx + 2t + hx + 2h = t(x + 2) + h(x+2) or we could write (again by factorising) tx + 2t + hx + 2h = x(t + h) + 2(t + h) Which is useful depends on what the question asks, really.
It is possible to factorise 4x²-9 further.Factorising is to express a number or expression as a product of factors.The technique of factorising two terms: a² - b² = (a + b) (a - b)If we apply ( 4x²-9 ) to the previous technique: 4x² - 9 = (2x + 3) (2x - 3)