What is expand 7x^2(3x^2+8x+7) ?

The solution to expand 7x^2(3x^2+8x+7) is 21x^4+56x^3+49x^2

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expand 7x^2(3x^2+8x+7)

expand

7 x^{2} (3 x^{2} + 8 x + 7)

21 x^{4} + 56 x^{3} + 49 x^{2}

Solution steps

7 x^{2} (3 x^{2} + 8 x + 7)

Apply the distributive law:

m (a + b + c) = ma + mb + m c

7 x^{2} (3 x^{2} + 8 x + 7) = 7 x^{2} \cdot 3 x^{2} + 7 x^{2} \cdot 8 x + 7 x^{2} \cdot 7

= 7 x^{2} \cdot 3 x^{2} + 7 x^{2} \cdot 8 x + 7 x^{2} \cdot 7

Simplify

7 x^{2} \cdot 3 x^{2} + 7 x^{2} \cdot 8 x + 7 x^{2} \cdot 7 : 21 x^{4} + 56 x^{3} + 49 x^{2}

= 21 x^{4} + 56 x^{3} + 49 x^{2}

\frac{2 ^{6}}{2 ^{4}}

10 \cdot 696

- 9 + 18

- 6 a^{2} b^{- 4} c \cdot 4 a b^{2}

x y + y^{2}

What is expand 7x^2(3x^2+8x+7) ?
The solution to expand 7x^2(3x^2+8x+7) is 21x^4+56x^3+49x^2