How to factorise 2xsquared plus 12x plus 10
To factorise 2x^2 + 12x + 10, we first look for two numbers that multiply to 2*10=20 and add up to 12 (the coefficient of the middle term). The numbers that satisfy these conditions are 2 and 10.
Next, we rewrite the middle term (12x) using these two numbers:
2x^2 + 2x + 10x + 10
Now, we can factor by grouping:
2x(x + 1) + 10(x + 1)
(x + 1)(2x + 10)
(x + 1)(2x + 10) = (x + 1)(2)(x + 5)
= 2x(x + 5) + 1(x + 5)
= (2x + 1)(x + 5)
Therefore, 2x^2 + 12x + 10 can be factorised as (2x + 1)(x + 5).