[tex]\bold{\huge{\pink{\underline{ Solutions }}}}[/tex]
[tex]\bold{m(4 + p) + p( 3 + m) }[/tex]
[tex]\sf{4×m + m× p + p×3+ m × p}[/tex]
[tex]\sf{4m + mp + 3p + mp }[/tex]
[tex]\bold{\red{ 2mp + 4m + 3p}}[/tex]
Hence, Your answer is 2mp + 4m + 3p
[tex]\bold{4r(3+ 4p) + 3p( 8 - r) }[/tex]
[tex]\sf{4r× 3+ 4r × 4p + 3p× 8 - 3p × r}[/tex]
[tex]\sf{12r + 16rp + 24p - 3rp }[/tex]
[tex]\sf{12r + 24p + 13rp }[/tex]
[tex]\bold{\red{13rp + 24p + 12r }}[/tex]
Hence, your answer is 13rp + 24p + 12r
[tex]\bold{(3 + 2h)(5 + 3h )}[/tex]
[tex]\sf{3(5 + 3h) + 2h(5 + 3h }[/tex]
[tex]\sf{15 + 9h + 10h + 6h² }[/tex]
[tex]\sf{15 + 19h + 6h²}[/tex]
[tex]\bold{\red{6h² + 19h + 15}}[/tex]
Hence, your answer is 6h² + 19h + 15
[tex]\bold{(3 + 4y)(5y - 1 ) }[/tex]
[tex]\sf{3(5y - 1 ) + 4y(5y - 1) }[/tex]
[tex]\sf{15y - 3 + 20y² - 4y }[/tex]
[tex]\sf{11y - 3 + 20y²}[/tex]
[tex]\bold{\red{20y² + 11y - 3 }}[/tex]
Hence, your answer is 20y² + 11y - 3
[tex]\bold{(2n - 3p )(3p - 2m ) }[/tex]
[tex]\sf{2n(3p - 2m) -3p(3p - 2m) }[/tex]
[tex]\sf{ 6np - 4nm - 9p² + 6mp }[/tex]
[tex]\bold{\red{- 9p² - 6mp - 4nm + 6np }}[/tex]
Hence, your answer is - 9p² - 6mp - 4nm + 6np
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!
