What is expand 7r^2(3r^2-2r-5) ?

The solution to expand 7r^2(3r^2-2r-5) is 21r^4-14r^3-35r^2

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expand 7r^2(3r^2-2r-5)

expand

7 r^{2} (3 r^{2} - 2 r - 5)

21 r^{4} - 14 r^{3} - 35 r^{2}

Solution steps

7 r^{2} (3 r^{2} - 2 r - 5)

Apply the distributive law:

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

7 r^{2} (3 r^{2} - 2 r - 5) = 7 r^{2} \cdot 3 r^{2} + 7 r^{2} (- 2 r) + 7 r^{2} (- 5)

= 7 r^{2} \cdot 3 r^{2} + 7 r^{2} (- 2 r) + 7 r^{2} (- 5)

Simplify

7 r^{2} \cdot 3 r^{2} + 7 r^{2} (- 2 r) + 7 r^{2} (- 5) : 21 r^{4} - 14 r^{3} - 35 r^{2}

= 21 r^{4} - 14 r^{3} - 35 r^{2}

(- 2 a + 5)^{3}

98 b

6 x + 7 + 8 x^{2} + 5 x - 1

(x + 5) (2 x - 1)

(\frac{- 2 j ^{3} k}{3 j m ^{3}})^{3}

What is expand 7r^2(3r^2-2r-5) ?
The solution to expand 7r^2(3r^2-2r-5) is 21r^4-14r^3-35r^2