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Problems

Factor out the GCF

\(\textbf{1)}\) \( 15x^3 y+18x^4 y^5 \)

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The answer is \( 3x^3 y(5+6xy^4) \)

\(\textbf{2)}\) \( 3x^2+18x^3 y^4 \)

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The answer is \( 3x^2 (1+6xy^4) \)

\(\textbf{3)}\) \( 3xyz^2+x^2 y^2 z+9x^3 y \)

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The answer is \( xy(3z^2+xyz+9x^2) \)

\(\textbf{4)}\) \( 5xyz+10wy \)

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The answer is \( 5y(xz+2w) \)

\(\textbf{5)}\) \( a^2 d^2 y+a^2 d^3 y+ad^4 y^2 \)

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The answer is \( ad^2 y(a+ad+d^2 y) \)

\(\textbf{6)}\) \( 5x^2 y+15x y^3 +10x^2y^2 \)

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The answer is \( 5xy (x+3y^2+2xy) \)

\(\textbf{7)}\) \( 2x^2 y +4x^3 y^2 +6x^4 y^3 \)

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The answer is \( 2x^2 y\left(1+2xy+3x^2 y^2\right) \)

\(\textbf{8)}\) \( 4x^4+6x^3-8x^2 \)

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The answer is \( 2x^2\left(2x^2+3x-4\right) \)

\(\textbf{9)}\) \( 12x^4-15x^2 \)

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The answer is \( 3x^2\left(4x^2-5\right) \)

\(\textbf{10)}\) \( 12x^4-15x^3+3x^2 \)

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The answer is \( 3x^2\left(4x^2-5x+1\right) \)

See Related Pages\(\)

\(\bullet\text{ Factoring Calculator }\)
\(\,\,\,\,\,\,\,\,\text{(Symbolab.com)}\)

\(\bullet\text{ Perfect Square Trinomials}\)
\(\,\,\,\,\,\,\,\,x^2-6x+9=(x-3)^2…\)

\(\bullet\text{ Factoring Trinomials with a}=1\)
\(\,\,\,\,\,\,\,\,x^2+7x+12=(x+3)(x+4)…\)

\(\bullet\text{ Factoring Trinomials with a} \ne 1\)
\(\,\,\,\,\,\,\,\,3x^2+11x+6=(3x+2)(x+3)…\)

\(\bullet\text{ Factoring with u-substitution}\)
\(\,\,\,\,\,\,\,\,x^4+5x^2+6=u^2+5u+6…\)

\(\bullet\text{ Difference of Two Squares}\)
\(\,\,\,\,\,\,\,\,x^2-16=(x+4)(x-4)…\)

\(\bullet\text{ Sum/Difference of Two Cubes}\)
\(\,\,\,\,\,\,\,\,x^3-8=(x-2)(x^2+2x+4)…\)

\(\bullet\text{ Factor by Grouping}\)
\(\,\,\,\,\,\,\,\,8x^3-4x^2-6x+3=(4x^2-3)(2x-1)…\)

\(\bullet\text{ Solving Quadratic Equations by Factoring}\)
\(\,\,\,\,\,\,\,\,x^2+10x−24=0…\)

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