Multiplying out the brackets: 10a^2 -19a +7 and so the middle term is -19a
If you mean: (2a+9)(5a-6) then it is 10a^2+33a-54
30a2 + a = 20 ∴ 30a2 + a - 20 = 0 To factor this out, find two values whose sum is equal to the coefficient of the middle term, and whose product is equal to the product of the first and last terms' coefficients: x + y = 1 xy = 600 Because x and y are so close together, we know that they'll be fairly close to the square root of 600, which is about 24.4949. So let's try 24 and 25: 24 × 25 = 600 bingo. So we'll take those two terms, and use them in our original equation, replacing the middle term with each of them (keeping in mind that their sum must equal the middle term): ∴ 30a2 -24a + 25a - 20 = 0 ∴ 6a(5a - 4) + 5(5a - 4) = 0 ∴ (6a + 5)(5a - 4) = 0 ∴ a ∈ {-5/6, 4/5}
2a + 3a = 5a
Take your pick: a, 2a, 3a, 4a .... etc
The GCF is 5a.
5a times 5a would equal 25a^2.
5a = a + a + a + a + a
5a = -5a + 5Add 5a to each side:10a = 5Divide each side by 10:a = 5/10 = 1/2
The exponent tells how many times the base is used as a factor. 23 = 2 x 2 x 2
(5a)^2 or a^2+10a+25
5a or 4a squared
The answer depends upon what the "x" here means. x is commonly used in algebra to denote a variable. However "x" is also a symbol used to mean multiplication. If the first then 5xa means 5 multiplied by x multiplied by a. If the second then 5xa means 5 multiplied by a. This is usually written simply as 5a.