Question

(c+2d)² -(c+2d) (3c-7d)​

Answer 1

Answer:

STEP

1

:

Equation at the end of step 1

((c + 2d)2) - (c + 2d) • (3c - 7d)

STEP

2

:

Pulling out like terms

2.1 Pull out c+2d

After pulling out, we are left with :

(c+2d) • ( (c+2d) +( (-1) * (3c-7d) ))

Final result :

(c + 2d) • (9d - 2c)

Answer 2

$The \: answer \: is \: = - 2 {c}^{2} + 18 {d}^{2} + 5cd$

Step-by-step explanation:

$(c+2d)² -(c+2d) (3c-7d) \\ \\ = {(c)}^{2} + {(2d)}^{2} + 2 \times c \times 2d - c(3c - 7d) + 2d(3c - 7d) \\ \\ = {c}^{2} + 4 {d}^{2} + 4cd -[(3 {c}^{2} - 7cd) + (6cd - 14 {d}^{2} )] \\ \\ = {c}^{2} + 4 {d}^{2} + 4cd - [3 {c}^{2} - 7cd + 6cd - 14 {d}^{2} ] \\ \\ = {c}^{2} + 4 {d}^{2} + 4cd -[3 {c}^{2} - cd - 14 {d}^{2} ] \\ \\ = {c}^{2} + 4 {d}^{2} + 4cd - 3 {c}^{2} + cd + 14 {d}^{2} \\ \\ = - 2 {c}^{2} + 18 {d}^{2} + 5cd$

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