(4p – 2q + 5)(p + 4q) 4 (2m + 5n – 1)
ayudenme con esta por favor
ayudenme con esta por favor
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Respuesta:
[tex]\left(4p\:-\:2q\:+\:5\right)\left(p\:+\:4q\right)\:4\:\left(2m\:+\:5n\:-\:1\right)[/tex]
[tex]4\left(4p-2q+5\right)\left(p+4q\right)\left(2m+5n-1\right)[/tex]
Desarrollamos [tex]4\left(p+4q\right)[/tex]
= [tex]4p+16q[/tex]
[tex]\left(4p+16q\right)\left(4p-2q+5\right)\left(2m+5n-1\right)[/tex]
Desarrollamos [tex]\left(4p+16q\right)\left(4p-2q+5\right)[/tex]
= [tex]16p^2+56pq+20p-32q^2+80q[/tex]
[tex]\left(16p^2+56pq+20p-32q^2+80q\right)\left(2m+5n-1\right)[/tex]
Desarrollamos [tex]\left(16p^2+56pq+20p-32q^2+80q\right)\left(2m+5n-1\right)[/tex]
[tex]16p^2\cdot \:2m+16p^2\cdot \:5n+16p^2\left(-1\right)+56pq\cdot \:2m+56pq\cdot \:5n+56pq\left(-1\right)+20p\cdot \:2m+20p\cdot \:5n+20p\left(-1\right)-32q^2\cdot \:2m-32q^2\cdot \:5n-32q^2\left(-1\right)+80q\cdot \:2m+80q\cdot \:5n+80q\left(-1\right)[/tex]
Simplificamos[tex]16p^2\cdot \:2m+16p^2\cdot \:5n+16p^2\left(-1\right)+56pq\cdot \:2m+56pq\cdot \:5n+56pq\left(-1\right)+20p\cdot \:2m+20p\cdot \:5n+20p\left(-1\right)-32q^2\cdot \:2m-32q^2\cdot \:5n-32q^2\left(-1\right)+80q\cdot \:2m+80q\cdot \:5n+80q\left(-1\right)[/tex]
= [tex]32mp^2+80p^2n-16p^2+112mpq+280npq-56pq+40mp+100np-20p-64mq^2-160nq^2+32q^2+160mq+400nq-80[/tex]
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