Question

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

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

Answer:

f) 4m + 2mp + 3p

g) 12r + 13pr + 24p

h) 6h^2 + 19h + 15

i) 20y^2 + 11y - 3

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

Step-by-step 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!