Question

. solve the factorise .​

Answer 1

Answer:

3 (t + 1)(10t - 3)

Step-by-step explanation:

• Step 1

(write the equation)

=> 30 t² + 39t - 9

• Step 2

(Express the middle terms coefficient as the sum of two numbers that are the factors of the product of the coefficients of the other terms. )

product of the other terms = 30× 9 = 270

it's factors that sum up to 39 = 30 and 9

=> 30t² + 30t - 9t - 9

Step 3

(taking common)

=> 30t( t + 1) - 9(t + 1)

= (t + 1)(30t - 9)

= (t + 1). 3( 10t - 3)

= 3 (t + 1)(10t - 3)

after factorising we get

3 (t + 1)(10t - 3)

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Hope this helps !