Question

1. m(4 + p) + p(3+ m)
2. 4r(3 + 4p) + 3p(8 -r)
3. (3 + 2h)(5 + 3h)
4. (3 + 4y)(5y - 1)
5. (2n - 3p)(3p - 2m)

Expand and simplify each of the following . Please give me the correct answer. Thanks

Answer 1

Answer:

1. 4m + 2mp + 3p

2. 12r + 13pr + 24p

3. 6h^2 + 19h + 15

4. 20y^2 + 11y - 3

5. -9p^2 - 4mn + 6mp + 6np

Step-by-step explanation:

1. m(4 + p) + p(3+ m)

   4m + mp + 3p + mp

 4m + (mp + mp) + 3p

  4m + 2mp + 3p

2. 4r(3 + 4p) + 3p(8 -r)

  12r + 16pr + 24p + -3pr

  12r + (16pr - 3pr) + 24p

  12r + 13pr + 24p

3. (3 + 2h)(5 + 3h)

  3(5 + 3h) + 2h(5+3h)

  15 + 9h + 10h + 6h^2

  6h^2 + 19h + 15

4. (3 + 4y)(5y - 1)

  3(5y - 1) + 4y(5y - 1)

  15y - 3 + 20y^2 - 4y

  20y^2 + 11y - 3

5. (2n - 3p)(3p - 2m)

   2n(3p - 2m) + -3p(3p - 2m)

  6np - 4mn + -9p^2 + 6mp

  -9p^2 - 4mn + 6mp + 6np

Hope this helps!

Answer 2

Solutions :

$\sf1. \quad\: m(4 + p) + p(3+ m)$

$\sf \dashrightarrow \quad\: 4m + mp + 3p+ mp$

$\sf \dashrightarrow \quad\: 4m + 2mp + 3p$

⠀

$\sf 2. \quad\: 4r(3 + 4p) + 3p(8 -r)$

$\sf \dashrightarrow \quad\: 12r+ 16rp + 24p -3pr$

$\sf \dashrightarrow \quad\: 12r+ 13rp + 24p$

⠀

$\sf 3. \quad\: (3 + 2h)(5 + 3h)$

$\sf \dashrightarrow \quad\: 3(5 + 3h) + 2h(5 + 3h)$

$\sf \dashrightarrow \quad\: 15 + 9h + 10h + {6h}^{2}$

$\sf \dashrightarrow \quad\: 15 + 19h + {6h}^{2}$

⠀

$4. \sf \quad\:(3 + 4y)(5y - 1)$

$\sf \dashrightarrow \quad\:  3(5y - 1) + 4y(5y - 1)$

$\sf \dashrightarrow \quad\: 15y - 3 + 20y^2 - 4y$

$\sf \dashrightarrow \quad\: 11y - 3 + {20}^{2}$

⠀

$5.\sf \quad\: (2n - 3p)(3p - 2m)$

$\sf \dashrightarrow \quad\:  2n(3p - 2m) +[-3p(3p - 2m)]$

$\sf \dashrightarrow \quad\: 6np - 4mn -9p^2 + 6mp$

$\sf \dashrightarrow \quad\: -9p^2 - 4mn + 6mp + 6np$