Math, asked by jagbir91, 1 year ago

simplify 2a(3a^2-6b)-1/2b(2ab+8a)​

Answers

Answered by BloomingBud
18

SOLUTION :

\bf Simplifying \;\:\bf \therefore \:\:2a (3a^{2} - 6b)- \frac{1}{2}b(2ab+8a)\\\\= 6a^{3}-ab^{2}-16ab

\bf \underline{Let\:\: us \:\:solve\:\: the \:\:product}\:\: 2a (3a^{2}-6b)

\bf 2a(3a^{2}-6b)=2a \times 3a^{2}- 2a\times 6b\\\\=6a^{3} -12ab

\bf \underline{\bf Now \:\:solving \:\:the \:\:product}\:\: \frac{1}{2}b(2ab+8a),\underline{we\:\: have}

\bf \frac{1}{2}b(2ab+8a)=\frac{1}{2}b \times 2ab+ \frac{1}{2}b \times 8a\\\\=ab^{2}+4ab

\underline{\bf Now\:\:putting\:\:both \:\:the\:\: products\:\: together,}

\bf 2a(3a^{2}-6b)-\frac{1}{2}b(2ab+8a)

\bf = (6a^{3}-12ab)-(ab^{2}+4ab)

\bf 6a^{3}-12ab - ab^{2}-4ab

\bf = 6a^{3} - ab^{2}+(-12ab-4ab)\\\:\:[putting\:\: the \:\:like\:\: terms\:\: together]\\\\

\bf = 6a^{3}-ab^{2} -16ab

Answered by storedmacloth
1

Answer:

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Step-by-step explanation:

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