To simplify the expression 6a^2 - 6ab + 7a^2, first combine like terms. Combine the terms with the same variable (a) raised to the same power. This results in 13a^2 - 6ab as the simplified expression. Remember to keep the terms in standard form with the variable term first, followed by any constant terms.
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7a2 + 53a + 28 = 7a2 + 49a + 4a + 28 = 7a(a + 7) +4(a + 7) = (a + 7)(7a + 4)
To factorize the expression 7a^2 - 8ab, you need to find the greatest common factor of the two terms. In this case, the common factor is a. So, you can factor out an 'a' to get a(7a - 8b) as the factored form of the expression. This means that 7a^2 - 8ab can be simplified as a multiplied by the quantity (7a - 8b).