Question

Explain and simplify:
a) (3x+7) + 2(4x-3)
b) (4a-3)^2+(3a-1)(3a+1)
c) 7(n+6)-4(8n+3)

Answer 1

a)
(3x+7) + 2(4x-3)

Simplify
3x+7+2(4x−3)

Expand
3x+7+8x−6

Gather like terms
(3x+8x)+7−6

Simplify
11x+7−6

Simplify
11x+1

Answer 2

b)
(4a-3)^2+(3a-1)(3a+1)

Expand
(4a−3)^2+9a^2+3a−3a−1

Simplify
(4a−3^)2+9a^2−1

Answer 3

c)
7(n+6)-4(8n+3)

Expand
7n+42−32n−12

Gather like terms
(7n−32n)+42−12

Simplify
−25n+42−12

Simplify
−25n+30

Answer 4

@brunomcv thank youuuu! Do you have time for a few more?

Answer 5

sure

Answer 6

d) (4x+5)(x-4)+(3x-7)
e) (m-6)(2m-9)-3(m+4)^2
f) -5(2w+7)(3w-2)-(4w+5)(4w-5)
g) 4(3x+7)-5(4x-7)

Answer 7

@brunomcv ^

Answer 8

d)
(4x+5)(x-4)+(3x-7)

Simplify
(4x+5)(x−4)+3x−7

Expand
4x2−16x+5x−20+3x−7

Gather like terms
4x2+(−16x+5x+3x)−20−7

Simplify
4x2−8x−20−7

Simplify
4x2−8x−27

Answer 9

e)
(m-6)(2m-9)-3(m+4)^2

Expand
2m2−9m−12m+54−3m2−24m−48

Gather like terms
(2m2−3m2)+(−9m−12m−24m)+54−48

Simplify
−m2−45m+54−48

Simplify
−m2−45m+6

Answer 10

f)
-5(2w+7)(3w-2)-(4w+5)(4w-5)

Expand
−30w2+20w−105w+70−16w2+20w−20w+25

Simplify
−30w2+20w−105w+70−16w2+25

Gather like terms
(−30w2−16w2)+(20w−105w)+70+25

Simplify
−46w2−85w+70+25

Simplify
−46w2−85w+95

Answer 11

g)
4(3x+7)-5(4x-7)

Expand
12x+28−20x+35

Gather like terms
(12x−20x)+28+35

Simplify
−8x+28+35

Simplify
−8x+63

Answer 12

thank you so much

Answer 13

You're welcome.