To factorize the expression 45x^2 + 36x + 20, we first need to find two numbers that multiply to 45*20=900 and add up to 36.
The two numbers that fit this criterion are 30 and 30.
So, we can rewrite the expression as:
45x^2 + 36x + 20 = 45x^2 + 30x + 6x + 20
Now, we group the terms and factor by grouping:
= 15x(3x + 2) + 10(3x + 2)
Factor out the common factor:
= (15x + 10)(3x + 2)
Therefore, the factorization of the quadratic expression is (15x + 10)(3x + 2).
factorize the quadratic expression 45x^2 + 36x + 20, using factorization
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