Tutor Help: Distributive Property

Skill: distributive-property

Tutor Help: Distributive Property

Stuck distributing? Recap the rule, try the self-help fixes, or preview a tutor request.

Tutor help · Distributive Property & Combining Like Terms

The distributive property a(b + c) = ab + ac means the outside factor multiplies every inside term — signs included. The #1 error is stopping after the first term.

Like terms share the variable AND the exponent. Combine them; leave everything else alone. 3x + 4 can never become 7x.

The full pipeline is distribute → combine. Verify with a test value (x = 2): both the original and your simplified form must agree.

How to get unstuck in 5 minutes

  1. 1Re-read the lesson section that matches your problem.
  2. 2Work one practice problem with the hint turned on.
  3. 3Check your answer with the step-by-step tool.
  4. 4Still stuck? Use the demo request form below.

1 Quick self-help

Three fixes that solve most stuck moments.

1

Only distributed to the first term?

Count the terms inside before you start, then count your products after. The counts must match — every house gets a package.

2

Signs going wrong?

Attach each sign to its term first: −2(x − 3) has terms +x and −3. Then multiply: −2·x and −2·(−3) = +6.

3

Simplification not matching?

Plug in x = 2 on both sides. If they disagree, your error is in the step where they diverge — check distribution first.

2 Common questions

Short answers to the questions tutors hear most.

Why is 3(x + 4) not 3x + 4?
Answer
Because the 3 must multiply the 4 too: 3·4 = 12. The property is a(b + c) = ab + ac — both products, always.
Can I combine 3x and 3x²?
Answer
No. Like terms need the same exponent: x¹ and x² are different species. Only the coefficients of matching terms combine.
What does −(x + 5) become?
Answer
Distribute −1: −x − 5. A lonely leading minus flips every sign inside.

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