30 (a2- 50+1) - 5b (b7+263 - 6b) 2 - 5b (2b2 - 3b + 2) 4x(-3x3 + 2x2 - x) 3 (403 + 3a2 - 6) • (- 2a2) (- 8x1 + 3x3 + x) • (- 3x2) 4 (5x4 - 4x3 + 2x) • (- 3x3) (6a - 2a3 - a2) • (-…
30 (a2- 50+1) - 5b (b7+263 - 6b) 2 - 5b (2b2 - 3b + 2) 4x(-3x3 + 2x2 - x) 3 (403 + 3a2 - 6) • (- 2a2) (- 8x1 + 3x3 + x) • (- 3x2) 4 (5x4 - 4x3 + 2x) • (- 3x3) (6a - 2a3 - a2) • (- 4a4) 5 2a b • (3a7b - 2ab3 + 5) 3ab (4a7b - 2ab2 + a2 b) б 4a3b (2a3 + 3ab2 + b) 2x}уª (8x y - бy3 + 4x}) 10xy3 (5x4y - 2x3y2 _ x2) 5x2y4 (5xбy +2x}y2+10) 6x y(3xt +x}y2 - y + 4x) 7a- 63 (-3a7b ÷ 2b4 - 5a2) 9 Sab*(-2a2b+3a bt - 5a2) - 9a2 b=(-2a5+3b°- 4a3b3) 10 2a(a + 3) - 3(a-- 3) 2a(a- - 4) - 3a(02 +6) 11 4(x - 7) + 5(x +6) -4yª (5y - 1) +3y (2y2-y) 12 - 6(2x - 4) - 73x + 1) - 5a- (2a +7) - 3a2(4a - 5) 13 9(3x + 1) - 4(2x - 7) - 4b(6a - b) + 3a (3a + 7b) 14 4(x - 5) - 5(x +6) 7y(4x - 3y) - Sy(2x + бy) 15 - 3b(5a - b) + 6a (3b - a) 4n- (5n - 3m) + 3n2 (n - 9m) 16 4c (2c + 3p) - 2p (c - 4p) -5x3 (x - 4) +6x (x3 - 2) 17 -3y(2x - 5y) - 2y(5x - 4y) 6x (2x2 - 7x) + 3x (x - 2) 18 6x(x +4) + 3x(x - 7) 3а? (4a - 5b) - 2a- (3a - 2b) 19 10x* (4x +5) - 8x(2x} - x3) - 2a (3a2 - 6) + 5a (4a2+8) 20 6c2(3c - 4) - Te(e2 + 5c) 7x}(5x - x3) - 5x7(7x?+ x3) 21 4p (2p - p3) - 3p (2p" -p}) - 5y+(3y2 - 4y})+3y*(Sy - yt)
The expressions provided seem to be requests for polynomial simplification and product (distribution). Here, I will go through a selection of them step by step.
Example Problems:
Expression: \[ 30(a^2 - 50 + 1) - 5b(b^7 + 263 - 6b) \] Solution: \[ 30(a^2 - 49) - 5b(b^7 - 6b + 263) \] \[ = 30a^2 - 1470 - 5b^8 + 30b^2 - 1315b \]
Expression: \[ 4x(-3x^3 + 2x^2 - x) \] Solution: \[ = 4x \cdot -3x^3 + 4x \cdot 2x^2 - 4x \cdot x = -12x^4 + 8x^3 - 4x^2 \]
Expression: \[ (403 + 3a^2 - 6) \cdot (-2a^2) \] Solution: \[ = (397 + 3a^2)(-2a^2) = -794a^2 - 6a^4 \]
Expression: \[ (5x^4 - 4x^3 + 2x) \cdot (-3x^3) \] Solution: \[ = -15x^7 + 12x^6 - 6x^4 \]
Expression: \[ 2ab(3a^7b - 2ab^3 + 5) \] Solution: \[ = 6a^8b^2 - 4a^2b^4 + 10ab \]
Expression: \[ 4a^3b(2a^3 + 3ab^2 + b) \] Solution: \[ = 8a^6b + 12a^4b^3 + 4a^3b^2 \]
Further Simplifications:
You may further simplify or expand the other expressions similarly, remembering to apply the distributive property carefully.
If you need specific expressions from your list to be solved in detail or want assistance with particular ones, feel free to ask!
