Final answer:
To factorize the expression a. 4y+4(2y)+4, we can simplify it to 12y + 4 and factor it to 4(3y + 1). For expression b. 108q−36+7q³−59q², we can group like terms, factor out common factors from each group, and then factor out the common factor (1 + (7q²)).
Step-by-step explanation:
To factorize the expression a. 4y+4(2y)+4, we can first simplify it by distributing the 4 to each term inside the parentheses: 4y + 8y + 4. Then, we can combine like terms: 12y + 4. The expression is fully factorized as 4(3y + 1).
To factorize the expression b. 108q−36+7q³−59q², we can group like terms: (108q + 7q³) + (-36 - 59q²). Then, we can factor out common factors from each group: 108q(1 + (7q²)) - 36(1 + (7q²)). Now, we have a common factor (1 + (7q²)) that can be factored out: (1 + (7q²))(108q - 36).