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a. 2x² + 7x - 15
b. 3x² + 2xy- y²
c. 5m²+ 19m- 4
d. 2p²+ 19pq- 4 q²
3.
a .2x² -5x-12
b. a²-2ab-15b²
c. 10m² +18m-4
a. (2x - 3) (x + 5)
= (2x × x) + (2x × 5) - (3 × x) - (3 × 5)
= 2x² + 10x - 3x - 15
= 2x² + 7x - 15
b. (3x - y) (x + y)
= (3x × x) + (3x × y) - (y × x) - (y × y)
= 3x² + 3xy - xy - y²
= 3x² + 2xy - y²
c. (5m - 1) (m + 4)
= (5m × m) + (5m × 4) - (1 × m) - (1 × 4)
= 5m² + 20m - m - 4
= 5m² + 19m - 4
d. (2p + q) (p - 4q)
= (2p × p) + (2p × -4q) + (q × p) + (q × -4q)
= 2p² - 8pq + pq - 4q²
= 2p² - 7pq - 4q²
No. 3 :
a. (2x + 3) (x - 4)
= (2x × x) + (2x × -4) + (3 × x) + (3 × -4)
= 2x² - 8x + 3x - 12
= 2x² - 5x - 12
b. (a + 3b) (a - 5b)
= (a × a) + (a × -5b) + (3b × a) + (3b × -5b)
= a² - 5ab + 3ab - 15b²
= a² - 2ab - 15b²
c. (5m - 1) (2m + 4)
= (5m × 2m) + (5m × 4) - (1 × 2m) - (1 × 4)
= 10m² + 20m - 2m - 4
= 10m² + 18m - 4