Final answer:
The equivalent expression to 2x(4x + 3) + 7x^2 is 15x^2 + 6x, found by distributing 2x over (4x + 3) and combining like terms. Therefore correct option is D
Step-by-step explanation:
The question asks which expression is equivalent to 2x(4x + 3) + 7x2. To find the equivalent expression, we need to apply the distributive property to the given expression.
The distributive property states that a(b + c) = ab + ac. Thus, multiplying 2x by both terms inside the parenthesis, we get
2x * 4x + 2x * 3 + 7x2 = 8x2 + 6x + 7x2
Now, we combine like terms, which are terms with the same variable raised to the same power. The like terms here are 8x2 and 7x2:
8x2 + 7x2 + 6x = 15x2 + 6x
The expression 15x2 + 6x is the equivalent expression we were seeking.
Which expression is equivalent to 2x(4x + 3) + 7x2 ?
A) 8x2 + 3 B)21x3 C)15x2 – 6x D)15x2 + 6x