Question

expand 6q(q+4).
a) 6q²+24q
b) 6q²+10q
c) 6q²+q+24
d) 6q+24

Answer 1

Answer:

the correct answer is option a, for explanation refer to the attachment

Answer 2

 6q² + 24q is the expanded form of 6q(q+4)

Given:

• 6q(q + 4)

To Find:

• Choose correct Expanded form
• a) 6q²+24q
• b) 6q²+10q
• c) 6q²+q+24
• d) 6q+24

Solution:

• Distributive property a(b + c) = ab + ac
• Commutative property of multiplication   ab = ba

6q(q+4).

Step 1:

Apply distributive property and remove parenthesis

6q.q + 6q.4

Step 2:

Use a.a = a²

6q² + 6q.4

Step 3:

Apply commutative property of multiplication

6q² + 6(4).q

Step 3:

Find product of 6 and 4

6q² + 24q

Hence Correct option is a)  6q² + 24q