Your Progress - Chapter 80% complete
1Exercises7 questions
Q.1Add $7xy+5yz-3zx$, $4yz+9zx-4y$ and $-3xz+5x-2xy$.v
Solution
Combine like terms: $xy$: $7-2=5$; $yz$: $5+4=9$; $zx$: $-3+9-3=3$.
Answer:
$5xy+9yz+3zx-4y+5x$.
Q.2Subtract $5a^2-4b^2+3ab$ from $8a^2+2b^2-6ab$.v
Solution
$(8a^2+2b^2-6ab)-(5a^2-4b^2+3ab)$.
Answer:
$3a^2+6b^2-9ab$.
Q.3Multiply $2x$ by $3x+4$.v
Solution
Use distributivity: $2x(3x)+2x(4)$.
Answer:
$6x^2+8x$.
Q.4Multiply $(x+3)(x+5)$.v
Solution
$x^2+5x+3x+15$.
Answer:
$x^2+8x+15$.
Q.5Use an identity to find $(99)^2$.v
Solution
$(100-1)^2=10000-200+1=9801$.
Answer:
$9801$.
Q.6Use an identity to find $(102)^2$.v
Solution
$(100+2)^2=10000+400+4=10404$.
Answer:
$10404$.
Q.7Expand $(a+b)^2$.v
Solution
$(a+b)(a+b)=a^2+ab+ab+b^2$.
Answer:
$a^2+2ab+b^2$.