What is expand (21+h)(((21+3h))/7)^2 ?

The solution to expand (21+h)(((21+3h))/7)^2 is (3(21+3h)^2)/7+((21+3h)^2h)/(49)

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expand (21+h)(((21+3h))/7)^2

expand

(21 + h) (\frac{( 21 + 3 h )}{7})^{2}

\frac{3 ( 21 + 3 h ) ^{2}}{7} + \frac{( 21 + 3 h ) ^{2} h}{49}

Solution steps

(21 + h) (\frac{21 + 3 h}{7})^{2}

= (\frac{21 + 3 h}{7})^{2} (21 + h)

Apply the distributive law:

a (b + c) = ab + a c

(\frac{21 + 3 h}{7})^{2} (21 + h) = (\frac{21 + 3 h}{7})^{2} \cdot 21 + (\frac{21 + 3 h}{7})^{2} h

= (\frac{21 + 3 h}{7})^{2} \cdot 21 + (\frac{21 + 3 h}{7})^{2} h

Simplify

(\frac{21 + 3 h}{7})^{2} \cdot 21 + (\frac{21 + 3 h}{7})^{2} h : \frac{3 ( 21 + 3 h ) ^{2}}{7} + \frac{( 21 + 3 h ) ^{2} h}{49}

= \frac{3 ( 21 + 3 h ) ^{2}}{7} + \frac{( 21 + 3 h ) ^{2} h}{49}

\frac{9 ( 2 x - 5 )}{9 x ^{2} + 2}

\frac{5 ( 5 e ^{144923} - 4 )}{e ^{144923}}

\frac{1}{2} [lo g_{10} (2 x) + lo g_{10} (2) (x + 1)]

2 (2 y^{2} + 5 x y - 2 y + 4) d x + x (2 x + 2 y - 1) d y

3 (\frac{( - 1 ) ^{k - 1}}{2} + 1)

What is expand (21+h)(((21+3h))/7)^2 ?
The solution to expand (21+h)(((21+3h))/7)^2 is (3(21+3h)^2)/7+((21+3h)^2h)/(49)