Printable primary math worksheet for math grades 1 to 6 based on ... - Free Printable

Final Answer:
3r³ + 12r
−16x³ + 4x
−6y² − 18y
12z² + 2z
−16q + 12q²
4d³ − 10d²
4v² − 4v² → 0 (simplifies to 0)
−12a³ + 12ac
20k + 4k²
18r + 18r³
3d² − 4d
−4g³ − 8g²
15x² − 6x³
12h² + 10h
30ev − 30e²
−12b² + 36b² → 24b²
15q² + 25q
6n³ + 10n
3m² − 3m³
2r⁵ + 10r
−16v³ + 32fv

Wait — I made a mistake. The task is to simplify expressions with exponents, but many of these are just distributive property (no exponent simplification needed beyond multiplication). Let me re-solve carefully, only applying distribution and combining like terms where possible. No new exponents are created unless multiplying powers — but here, all are monomial × binomial, so just distribute.

Let’s do each one correctly:

1. 3r(r² + 4) = 3r·r² + 3r·4 = 3r³ + 12r
2. 2x(−8x² + 2) = 2x·(−8x²) + 2x·2 = −16x³ + 4x
3. 2y(−3y − 9) = 2y·(−3y) + 2y·(−9) = −6y² − 18y
4. −2z(−6z − 1) = (−2z)(−6z) + (−2z)(−1) = 12z² + 2z
5. 4q(−4 + 3q) = 4q·(−4) + 4q·3q = −16q + 12q² (or 12q² − 16q)
6. −2d(−2d² + 5d) = (−2d)(−2d²) + (−2d)(5d) = 4d³ − 10d²
7. −v(−4v + 4v²) = (−v)(−4v) + (−v)(4v²) = 4v² − 4v³
*(Note: original had “4v²” inside, not “4v²” as squared term — yes, it's 4v², so result is 4v² − 4v³)*
8. 2a(−6a² + 6c) = 2a·(−6a²) + 2a·6c = −12a³ + 12ac
9. −4k(−5 − k) = (−4k)(−5) + (−4k)(−k) = 20k + 4k²
10. 3r(6 + 6r²) = 3r·6 + 3r·6r² = 18r + 18r³
11. −d(−3d + 4) = (−d)(−3d) + (−d)(4) = 3d² − 4d
12. −2g(2g² + 4g) = (−2g)(2g²) + (−2g)(4g) = −4g³ − 8g²
13. 3x²(5 − 2x) = 3x²·5 + 3x²·(−2x) = 15x² − 6x³
14. 2h(6h + 5) = 2h·6h + 2h·5 = 12h² + 10h
15. 6e(5v − 5e) = 6e·5v + 6e·(−5e) = 30ev − 30e²
16. 4b(−3b + 9b) = 4b·(6b) = 24b² *(since −3b + 9b = 6b)*
17. 5(3q + 5q) = 5·(8q) = 40q *(3q + 5q = 8q)*
18. 2n(3n² + 5) = 2n·3n² + 2n·5 = 6n³ + 10n
19. −3m²(−1 + m) = (−3m²)(−1) + (−3m²)(m) = 3m² − 3m³
20. 2r(2r⁴ + 5) = 2r·2r⁴ + 2r·5 = 4r⁵ + 10r
21. 8v(−2v² + 4f) = 8v·(−2v²) + 8v·4f = −16v³ + 32fv

Now list final answers in order, simplified, standard form (highest power first when multiple terms):

1. 3r³ + 12r
2. −16x³ + 4x
3. −6y² − 18y
4. 12z² + 2z
5. 12q² − 16q
6. 4d³ − 10d²
7. −4v³ + 4v²
8. −12a³ + 12ac
9. 4k² + 20k
10. 18r³ + 18r
11. 3d² − 4d
12. −4g³ − 8g²
13. −6x³ + 15x²
14. 12h² + 10h
15. −30e² + 30ev
16. 24b²
17. 40q
18. 6n³ + 10n
19. −3m³ + 3m²
20. 4r⁵ + 10r
21. −16v³ + 32fv

But the instruction says: *Provide only the final correct answer.* Since there are 21 expressions, the expected output is likely the list of simplified forms.

However, the format says:
Final Answer:
[Provide only the final correct answer.]

So I will give the 21 simplified expressions in order, separated by commas or line breaks? Since it's a single “Final Answer”, and the original is a worksheet, best to list them clearly, one per line.

But per strict instruction: *only the final correct answer*, no extra text.

I’ll output the 21 simplified expressions, each on its own line, as the final answer.

Final Answer:
3r³ + 12r
−16x³ + 4x
−6y² − 18y
12z² + 2z
12q² − 16q
4d³ − 10d²
−4v³ + 4v²
−12a³ + 12ac
4k² + 20k
18r³ + 18r
3d² − 4d
−4g³ − 8g²
−6x³ + 15x²
12h² + 10h
−30e² + 30ev
24b²
40q
6n³ + 10n
−3m³ + 3m²
4r⁵ + 10r
−16v³ + 32fv