Mathematics: 3. factor by identifying a common factor in each term. g) 6xy2 = (3x) h) 25a3b2 = (5a2b2) i) 6x + 6y + 6p

3. factor by identifying a common factor in each term.

Ответ:

ayoismeisalex

08.01.2022

$\large\boxed{g)\ 6xy^2=(3x)(2y^2)}\\\boxed{h)\ 25a^3b^2=(5a^2b^2)(5a)}\\\boxed{i)\ 6x+6y+6p=6(x+y+p)}$

Step-by-step explanation:

$g)\ 6xy^2=3\cdot2\cdot x\cdot y\cdot y=(3\cdot x)(2\cdot y\cdot y)=(3x)(2y^2)\\\\h)\ 25a^3b^2=5\cdot5\cdot a\cdot a\cdot a\cdot b\cdot b=(5\cdot a\cdot a\cdot b\cdot b)(5\cdot a)=(5a^2b^2)(5a)\\\\i)\ 6x+6y+6p=6\cdot x+6\cdot y+6\cdot p=6(x+y+p)$

Other way for g) and h):

$g)\ \dfrac{6xy^2}{3x}=\dfrac{6}{3}\cdot\dfrac{xy^2}{x}=2y^2\\\\6xy^2=(3x)(2y^2)\\\\h)\ \dfrac{25a^3b^2}{5a^2b^2}=\dfrac{25}{5}\cdot\dfrac{a^3}{a^2}\cdot\dfrac{b^2}{b^2}=5a\\\\25a^3b^2=(5a^2b^2)(5a)$

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Ответ:

maddie02294

11.03.2022

Mathematics

xcghjkm cfghn

Step-by-step explanation:

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3. factor by identifying a common factor in each term.

g) 6xy2 = (3x)

h) 25a3b2 = (5a2b2)
i) 6x + 6y + 6p

Ответ:

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