Question

1. $5(3 - 2n) - 3n(-4n + 2)$
2. $3m(m - 4) + 6m(3 - 5m)$
3. $-3x(x^2 + 3xy - 2y^2)$
4. $4x^2(-7x^2 + 2xy - 8y^2)$

Explanation:

Step1: Expand first term (Q11)

$5(3-2n) = 15 - 10n$

Step2: Expand second term (Q11)

$-3n(-4n+2) = 12n^2 - 6n$

Step3: Combine like terms (Q11)

$15 - 10n + 12n^2 - 6n = 12n^2 - 16n + 15$

Step4: Expand first term (Q12)

$3m(m-4) = 3m^2 - 12m$

Step5: Expand second term (Q12)

$6m(3-5m) = 18m - 30m^2$

Step6: Combine like terms (Q12)

$3m^2 - 12m + 18m - 30m^2 = -27m^2 + 6m$

Step7: Distribute $-3x$ (Q13)

$-3x(x^2+3xy-2y^2) = -3x^3 -9x^2y +6xy^2$

Step8: Distribute $4x^2$ (Q14)

$4x^2(-7x^2+2xy-8y^2) = -28x^4 +8x^3y -32x^2y^2$

Answer:

1. $12n^2 - 16n + 15$
2. $-27m^2 + 6m$
3. $-3x^3 -9x^2y +6xy^2$
4. $-28x^4 +8x^3y -32x^2y^2$