Question

factorise
15x²+52x+45​

Answer 1

Step-by-step explanation:

15x^2 +27x+25x+45

check it once

Answer 2

Answer:

Factorising 15x²+52x+45 using splitting the middle term

Product of 45×15= 675

So getting the factors of 675 gives us

45×15

27×25

75×9

Hence 27×25 =675

27+25 =52

we spilt the middle term as

15x²+52x+45 = 15x²+27x+25x+45

= 3x(5x+9)+5(5x+9)

= (5x+9)(3x+5)

Therefore, (5x+9) and (3x+5) are the factors of 15x²+52x+45