Question

F) m(4+p) +p(3 + m)

g) 4r(3 + 4p) + 3p(8-r)

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

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

J) (2n - 3p)(3p - 2m)

Expand and simplify each of the following . I do appreciate if you put some attachment . Thanks alot .

Answer 1

`\bold{\huge{\pink{\underline{ Solutions }}}}`

• Here, we have to expand the given expressions and simplify each one of them

Solution 1 :-

`\bold{m(4 + p) + p( 3 + m) }`

`\sf{4×m + m× p + p×3+ m × p}`

`\sf{4m + mp + 3p + mp }`

`\bold{\red{ 2mp + 4m + 3p}}`

Hence, Your answer is 2mp + 4m + 3p

Solution 2 :-

`\bold{4r(3+ 4p) + 3p( 8 - r) }`

`\sf{4r× 3+ 4r × 4p + 3p× 8 - 3p × r}`

`\sf{12r + 16rp + 24p - 3rp }`

`\sf{12r + 24p + 13rp }`

`\bold{\red{13rp + 24p + 12r }}`

Hence, your answer is 13rp + 24p + 12r

Solution 3 :-

`\bold{(3 + 2h)(5 + 3h )}`

`\sf{3(5 + 3h) + 2h(5 + 3h }`

`\sf{15 + 9h + 10h + 6h² }`

`\sf{15 + 19h + 6h²}`

`\bold{\red{6h² + 19h + 15}}`

Hence, your answer is 6h² + 19h + 15

Solution 4 :-

`\bold{(3 + 4y)(5y - 1 ) }`

`\sf{3(5y - 1 ) + 4y(5y - 1) }`

`\sf{15y - 3 + 20y² - 4y }`

`\sf{11y - 3 + 20y²}`

`\bold{\red{20y² + 11y - 3 }}`

Hence, your answer is 20y² + 11y - 3

Solution 5 :-

`\bold{(2n - 3p )(3p - 2m ) }`

`\sf{2n(3p - 2m) -3p(3p - 2m) }`

`\sf{ 6np - 4nm - 9p² + 6mp }`

`\bold{\red{- 9p² - 6mp - 4nm + 6np }}`

Hence, your answer is - 9p² - 6mp - 4nm + 6np

Answer 2

f) 4m + 2mp + 3p

g) 12r + 13pr + 24p

h) 6h^2 + 19h + 15

i) 20y^2 + 11y - 3

j) -9p^2 - 4mn + 4mp + 6np

Explanation:

f) m(4+p) +p(3 + m)

m(4) m(p) + p(3) + p(m)

4m + mp + 3p + mp

4m + 2mp + 3p

g) 4r(3 + 4p) + 3p(8-r)

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

12r + 16pr + 24p + -3pr

12r + 13pr + 24p

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

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

15 + 9h + 10h + 6h^2

6h^2 + 19h + 15

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

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

15y - 3 + 20y^2 - 4y

20y^2 + 11y - 3

j) (2n - 3p)(3p - 2m)

2n(3p - 2m) + -3p(3p - 2m)

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

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

Hope this helps!