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Fully factorise 27t² + 15t​

User Chiggs
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Answer: 3t(9t + 5)

Step-by-step explanation:

Sure! Factoring involves breaking down an expression into simpler factors that, when multiplied together, give the original expression.

To factor 27t² + 15t, we can look for the greatest common factor (GCF) of the two terms. The GCF of 27t² and 15t is 3t, because both terms can be divided by 3t.

So we start by factoring out the 3t:

27t² + 15t = 3t(9t + 5)

Notice that we can check if the factorization is correct by using the distributive property to multiply the factor 3t by the expression inside the parentheses:

3t(9t + 5) = 3t(9t) + 3t(5) = 27t² + 15t

Therefore, 27t² + 15t can be fully factorized as 3t(9t + 5).

User FranklinChen
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